Question

Q.2 Factorize the following by Factor theorem: x3 +6 x2 +11x+6

Answer 1

Answer:

( x+1) (x+2) ( x+3)

Step-by-step explanation:

p(x) = x^3+6x^2+11x+6

its first zero is -3

so, our first factor is (x+3)

then p(x) is divided by (x+3)

gives, x^2 + 3x +2

by spilliting term middle

we get two more factor

that is (x+1) (x+2)

so our all factor are

(x+1) ( x+2) ( x+3)