Binomial theorem Questions and Answers

5 Binomial Theorem Using the Binomial Theorem what is the coefficient of a x 13 in x 2 30 b y13 in 2 y 30

7 P Q R are points on the sides BC CA AB respectively of the triangle ABC such that BP CQ AR are respectively one third of BC CA AB Prove that the area of the triangle PQR is one third that of the triangle ABC

Find the length of segment JK Round to the nearest hundredth J 23 H 29 31

A computer company uses 6 characters to create their serial number identification for products number number number letter b 11 232 000 letter character The first 3 characters are any single digit number but no character can repeat in those first 3 characters The next two characters must be a letter and those two letters cannot be the same The last space can be any number or letter without any restriction How many unique serial numbers are possible a 24 336 000

Factor each completely 12 marks 1 x 9 3 a x 5 25a 60a 36 7 5x 45y 9 2n 98 11 36b 84b 49 2 9x 25 4 x 16x 64 6 9x 6x 1 8 81 18x x 10 4y 20y 25 12 36a 121

The graph of y tan br has vertical asymptotes at x 6 x 5 6 x 2 x 5T Find the value of b