Question

What is the complete factorization of the polynomial below?

x3 + 8x2 + 17x + 10

Answer 1

What is the complete factorization of the polynomial below?

x3 + 8x2 + 17x + 10

A. (x + 1)(x - 2)(x - 5)
B. (x + 1)(x + 2)(x + 5)
C. (x - 1)(x + 2)(x - 5)
D. (x - 1)(x - 2)(x + 5)

Answer 2

by hit and trial method i got -5 as a factor of this polynomial
then i divided the polynomial by (x+5) and got quotient as x2+3x+2 which can be written as (x+1)(x+2)
so the polynomial is factorized as (x+1)(x+2)(x+5)