Question:

Factor the polynomial f(x) = x5 + 2x³ - 8x² - 16 and find

Last updated: 7/16/2022

Factor the polynomial f(x) = x5 + 2x³ - 8x² - 16 and find

Factor the polynomial f(x) = x5 + 2x³ - 8x² - 16 and find its real zeros using the Zero Product Property. f(x) = (x³ - 8) (x² + 2); real zero at x = 2 f(x) = (x - 2) (x²+2x+4) (2²-2), real zeros at z = 2, ± √2 f(x) = (x − 2)(x² + 4x + 4) (²+2): real zeros at x = -2( multiplicity 2), 2 f(x) = (x - 2) (x² + 2x + 4) (x² + 2): real zero at x = 2