Quadratic equations Questions and Answers
![3 2 and 1 i](https://media.kunduz.com/media/sug-question-candidate/20240108065141139850-3739212.jpg?w=256)
![Solve the polynomial equations by finding all ro x 4x 5x 2 0](https://media.kunduz.com/media/sug-question-candidate/20240108064121833940-3739212.jpg?w=256)
![7i and 2](https://media.kunduz.com/media/sug-question-candidate/20240108063137598855-3739212.jpg?w=256)
![1 3 y x 1 5 y 3x 3 Ay 2 y x 2 4 y x 4 15 45 6 y 4 241 fy Ay HE Y](https://media.kunduz.com/media/sug-question-candidate/20240108052942161030-4737764.jpg?w=256)
![Divide the polynomials The form of your answer should either be p x or p x is a polynomial and k is an integer x 4x 15 3 H I k X 3 where p x](https://media.kunduz.com/media/sug-question-candidate/20240108060347383896-6479565.jpg?w=256)
Algebra
Quadratic equationsDivide the polynomials The form of your answer should either be p x or p x is a polynomial and k is an integer x 4x 15 3 H I k X 3 where p x
![Write the polynomial function in factored form with real and rational coefficients with the given zeros Hint Polynomials with irrational or complex roots MUST come in pairs 0 4 and 3](https://media.kunduz.com/media/sug-question-candidate/20240108033332985886-3739212.jpg?w=256)
Algebra
Quadratic equationsWrite the polynomial function in factored form with real and rational coefficients with the given zeros Hint Polynomials with irrational or complex roots MUST come in pairs 0 4 and 3
![State which are roots for the following polynomial f x x x 8x 12 12 2 0 Yes 000 C No 000](https://media.kunduz.com/media/sug-question-candidate/20240108032847219963-3739212.jpg?w=256)
Algebra
Quadratic equationsState which are roots for the following polynomial f x x x 8x 12 12 2 0 Yes 000 C No 000
![Solve the polynomial equations by finding all roots x3 4x 5x 2 0](https://media.kunduz.com/media/sug-question-candidate/20240108033249465427-3739212.jpg?w=256)
![Write the polynomial function in factored form with real and rational coefficients with the given zeros Hint Polynomials with irrational or complex roots MUST come in pairs 2 1 and 3i](https://media.kunduz.com/media/sug-question-candidate/20240108033354284357-3739212.jpg?w=256)
Algebra
Quadratic equationsWrite the polynomial function in factored form with real and rational coefficients with the given zeros Hint Polynomials with irrational or complex roots MUST come in pairs 2 1 and 3i
![Write the polynomial function in factored form with real and rational coefficients with the given zerc 2 3i 4 and 1](https://media.kunduz.com/media/sug-question-candidate/20240108033024823161-3739212.jpg?w=256)
Algebra
Quadratic equationsWrite the polynomial function in factored form with real and rational coefficients with the given zerc 2 3i 4 and 1
![Solve the polynomial equations by finding all roots 2x 6x x 3 0](https://media.kunduz.com/media/sug-question-candidate/20240108033311705460-3739212.jpg?w=256)
![Find the rational zeros of the polynomial function then write the function as a product of factors Make sure to test the possible zeros to find the actual zeros of the function](https://media.kunduz.com/media/sug-question-candidate/20240108032809398622-3739212.jpg?w=256)
Algebra
Quadratic equationsFind the rational zeros of the polynomial function then write the function as a product of factors Make sure to test the possible zeros to find the actual zeros of the function
![1 Select all of the ordered pairs x y that are solutions to the soul linear equation 6x 3y 6 A 1 4 B 1 0 C 3 4 A 16 0 B 0 16 C 8 3 2 Select all of the following ordered pairs that make the equation x 8y 16 true 3 The graph shows a linear relationship between z and y Suppose represents the number of paperback books Noah buys at the book fair all at the same price and y represents the amount of money in dollars he has after buying the books a b C Find and interpret the x and y intercepts of this line interpret 30 D 2 2 E 2 2 F 0 2 Find and interpret the slope of this line Xinterpret S Write an equation of this line t sx t30 D 1 3 0 2 F 2 0 Amount of money 35 30 25 20 15 10 5 bal y nogle Tone 0 1 2 3 4 567 Number of paperback boo d If Noah buys 4 paperback books how much money will he have left Explain your thinking Nook hi beyo 18 left](https://media.kunduz.com/media/sug-question-candidate/20240108011449184787-4737764.jpg?w=256)
Algebra
Quadratic equations1 Select all of the ordered pairs x y that are solutions to the soul linear equation 6x 3y 6 A 1 4 B 1 0 C 3 4 A 16 0 B 0 16 C 8 3 2 Select all of the following ordered pairs that make the equation x 8y 16 true 3 The graph shows a linear relationship between z and y Suppose represents the number of paperback books Noah buys at the book fair all at the same price and y represents the amount of money in dollars he has after buying the books a b C Find and interpret the x and y intercepts of this line interpret 30 D 2 2 E 2 2 F 0 2 Find and interpret the slope of this line Xinterpret S Write an equation of this line t sx t30 D 1 3 0 2 F 2 0 Amount of money 35 30 25 20 15 10 5 bal y nogle Tone 0 1 2 3 4 567 Number of paperback boo d If Noah buys 4 paperback books how much money will he have left Explain your thinking Nook hi beyo 18 left
![Determine whether the given binomial is a factor of the polynomial p x If it is find the remaining factors of p x x4 4x3 6x 4x 5 x 1 Hint There are four factors 1 1 4 6 45](https://media.kunduz.com/media/sug-question-candidate/20240107102903874754-3739212.jpg?w=256)
Algebra
Quadratic equationsDetermine whether the given binomial is a factor of the polynomial p x If it is find the remaining factors of p x x4 4x3 6x 4x 5 x 1 Hint There are four factors 1 1 4 6 45
![Use long division to find the quotient and remainder Write the result in the form quotient 4 3 2 9x x 11x 4 x 4 remainder divisor](https://media.kunduz.com/media/sug-question-candidate/20240107102142789800-3739212.jpg?w=256)
Algebra
Quadratic equationsUse long division to find the quotient and remainder Write the result in the form quotient 4 3 2 9x x 11x 4 x 4 remainder divisor
![Given a polynomial p x use synthetic division to divide by x a and obtain the quotient and the nonzero remainder Write the result in the form quotient remainder divisor 4x43x 7x 2 x 1 Find a 4 0 3 7 2 4](https://media.kunduz.com/media/sug-question-candidate/20240107102215805711-3739212.jpg?w=256)
Algebra
Quadratic equationsGiven a polynomial p x use synthetic division to divide by x a and obtain the quotient and the nonzero remainder Write the result in the form quotient remainder divisor 4x43x 7x 2 x 1 Find a 4 0 3 7 2 4
![Given a polynomial p x use synthetic division to divide by x a and obtain the quotient and t nonzero remainder Write the result in the form quotient remainder divisor 6x 25x 3x 5 x 1](https://media.kunduz.com/media/sug-question-candidate/20240107102620027735-3739212.jpg?w=256)
Algebra
Quadratic equationsGiven a polynomial p x use synthetic division to divide by x a and obtain the quotient and t nonzero remainder Write the result in the form quotient remainder divisor 6x 25x 3x 5 x 1
![Given a polynomial p x use synthetic division to divide by x nonzero remainder Write the results in the form quotient 2x 6x 5x 7 x 3 a and obtain the quotient and the remainder divisor](https://media.kunduz.com/media/sug-question-candidate/20240107103101778393-3739212.jpg?w=256)
Algebra
Quadratic equationsGiven a polynomial p x use synthetic division to divide by x nonzero remainder Write the results in the form quotient 2x 6x 5x 7 x 3 a and obtain the quotient and the remainder divisor
![Determine whether the given binomial is a factor of the polynomial p x If it is find the remaining factors of p x](https://media.kunduz.com/media/sug-question-candidate/20240107102716296907-3739212.jpg?w=256)
Algebra
Quadratic equationsDetermine whether the given binomial is a factor of the polynomial p x If it is find the remaining factors of p x
![Use long division to find the quotient and remainder remainder Write the result in the form quotient divisor 6x4 5x 2x 8 x 2x 5 6x x 2x 5 6x 5x 0x 2x 8 6x 12x 30x 7x 30x 2x 7x 8](https://media.kunduz.com/media/sug-question-candidate/20240107101606090368-3739212.jpg?w=256)
Algebra
Quadratic equationsUse long division to find the quotient and remainder remainder Write the result in the form quotient divisor 6x4 5x 2x 8 x 2x 5 6x x 2x 5 6x 5x 0x 2x 8 6x 12x 30x 7x 30x 2x 7x 8
![9x 25](https://media.kunduz.com/media/sug-question-candidate/20240107101305569775-3739212.jpg?w=256)
![4x4 4x x 1 3](https://media.kunduz.com/media/sug-question-candidate/20240107101400671724-3739212.jpg?w=256)
![Factor each 8x 64 polynomial or identify it as irreducible](https://media.kunduz.com/media/sug-question-candidate/20240107101132125828-3739212.jpg?w=256)
![6x 2x 9x 3](https://media.kunduz.com/media/sug-question-candidate/20240107101046228150-3739212.jpg?w=256)
![x 12x 32x 3](https://media.kunduz.com/media/sug-question-candidate/20240107092632416142-3739212.jpg?w=256)
![15x 2](https://media.kunduz.com/media/sug-question-candidate/20240107083328654458-3739212.jpg?w=256)
![Simplify by performing the following polynomial multiplications 3x 2 2x 3x 1](https://media.kunduz.com/media/sug-question-candidate/20240107061614633334-3739212.jpg?w=256)
Algebra
Quadratic equationsSimplify by performing the following polynomial multiplications 3x 2 2x 3x 1
![Factor the polynomial or identify it as irreducible 4x 2x 8x](https://media.kunduz.com/media/sug-question-candidate/20240107061724449244-3739212.jpg?w=256)
![x3 12x 32x](https://media.kunduz.com/media/sug-question-candidate/20240107062300027281-3739212.jpg?w=256)
![6x 6x 6 7x 6x 5](https://media.kunduz.com/media/sug-question-candidate/20240107061029114553-3739212.jpg?w=256)
![Simplify by performing the following polynomial multiplications 2 2x 5x x 4x 2](https://media.kunduz.com/media/sug-question-candidate/20240107061651470383-3739212.jpg?w=256)
Algebra
Quadratic equationsSimplify by performing the following polynomial multiplications 2 2x 5x x 4x 2
![Factor the polynomial or identify it as irreducible x 27](https://media.kunduz.com/media/sug-question-candidate/20240107062130649032-3739212.jpg?w=256)
![125x 64](https://media.kunduz.com/media/sug-question-candidate/20240107062210031071-3739212.jpg?w=256)
![Factor the polynomial or identify it as irreducible x x 20x](https://media.kunduz.com/media/sug-question-candidate/20240107062108047473-3739212.jpg?w=256)
![The number of items in millions that a company sold from 1998 through 2004 is modeled as N x 0 1x x 3x 4 and the average price per item in dollars as P x 0 2x 5 where x represents the number of years since 1998 Write a polynomial R x that can be used to model the total revenue for 81 this company Hint R x N x P x](https://media.kunduz.com/media/sug-question-candidate/20240107061517944922-3739212.jpg?w=256)
Algebra
Quadratic equationsThe number of items in millions that a company sold from 1998 through 2004 is modeled as N x 0 1x x 3x 4 and the average price per item in dollars as P x 0 2x 5 where x represents the number of years since 1998 Write a polynomial R x that can be used to model the total revenue for 81 this company Hint R x N x P x
![actoring the polynomial by group x 3x 3x 9](https://media.kunduz.com/media/sug-question-candidate/20240107062049324956-3739212.jpg?w=256)
![4x316x 20x](https://media.kunduz.com/media/sug-question-candidate/20240107061912170369-3739212.jpg?w=256)
![10x 490x](https://media.kunduz.com/media/sug-question-candidate/20240107062231833249-3739212.jpg?w=256)
![30x6 72x4](https://media.kunduz.com/media/sug-question-candidate/20240107061745429326-3739212.jpg?w=256)
![Factor the polynomial 3x3 7x 4x or identify it as irreducible](https://media.kunduz.com/media/sug-question-candidate/20240107061855166560-3739212.jpg?w=256)
![2 12x 21X 8X 14 72x 56x 36x 28](https://media.kunduz.com/media/sug-question-candidate/20240106181213506763-6473612.jpg?w=256)
![Simplify by performing the following polynomial multiplications 4x 2 6x x 2](https://media.kunduz.com/media/sug-question-candidate/20240106120746972828-3739212.jpg?w=256)
Algebra
Quadratic equationsSimplify by performing the following polynomial multiplications 4x 2 6x x 2
![A biologist has found that the number of branches on a certain rare tree can be modeled by the polynomial b y 4y y where y is the number of years after the tree reaches a height of 6 feet The number of leaves on each branch can be modeled by the polynomial y 2y 3y y Write a polynomial describing the total number of leaves on the tree](https://media.kunduz.com/media/sug-question-candidate/20240106120536170922-3739212.jpg?w=256)
Algebra
Quadratic equationsA biologist has found that the number of branches on a certain rare tree can be modeled by the polynomial b y 4y y where y is the number of years after the tree reaches a height of 6 feet The number of leaves on each branch can be modeled by the polynomial y 2y 3y y Write a polynomial describing the total number of leaves on the tree
![A rectangle has a length of x and a width of 5x 4x What is the polynomial that models the perimeter of the rectangle A 10x 2x 2x 8 B 10x3 8 C 5x4x 4x](https://media.kunduz.com/media/sug-question-candidate/20240106120407875619-3739212.jpg?w=256)
Algebra
Quadratic equationsA rectangle has a length of x and a width of 5x 4x What is the polynomial that models the perimeter of the rectangle A 10x 2x 2x 8 B 10x3 8 C 5x4x 4x
![Perform the following polynomial multiplications 3 2x 4 7x 5x](https://media.kunduz.com/media/sug-question-candidate/20240106120433329708-3739212.jpg?w=256)
![x 6 4x 8x 3](https://media.kunduz.com/media/sug-question-candidate/20240106120447662403-3739212.jpg?w=256)
![2x 23x 11 5 9x x](https://media.kunduz.com/media/sug-question-candidate/20240106120320148277-3739212.jpg?w=256)
![1080 cubic V Lwh 1080 22 2x 19 2x x 49x38x 4x 418 82 4x x 418 1 19 1080 418 Xx 1080 82x 4x3](https://media.kunduz.com/media/sug-question-candidate/20240106102032189302-6362801.jpg?w=256)
Algebra
Quadratic equations1080 cubic V Lwh 1080 22 2x 19 2x x 49x38x 4x 418 82 4x x 418 1 19 1080 418 Xx 1080 82x 4x3
![Which graph is sketched to the right A g x x 1 x 2 x 3 B g x x 1 x 2 x 3 C g x x 1 x 2 x 3 6 4 2 6 1 4 2 0 2](https://media.kunduz.com/media/sug-question-candidate/20240106111304008132-3739212.jpg?w=256)
Algebra
Quadratic equationsWhich graph is sketched to the right A g x x 1 x 2 x 3 B g x x 1 x 2 x 3 C g x x 1 x 2 x 3 6 4 2 6 1 4 2 0 2
![6x5 13x 2x 11x 10x 9x](https://media.kunduz.com/media/sug-question-candidate/20240106112229786666-3739212.jpg?w=256)