Question

11. Which of the following is a factorofpolynomial x3+x2=-17x+15​

Answer 1

answer

x

3

+x

2

−17x+15

x=−5

⇒(−5)

3

+(−5)

2

−17(−5)+15=0

∴(x+5) is a factor

∴(x

2

−4x+3)(x+5)

=(x

2

−3x−x+3)(x+5)

=(x(x−3)+1(x−3))(x+5)

=(x+5)(x+1)(x−3)