## 6. Show that (x – 1) is a factor of 2x + (p+3)x3+px2 – (p + 5) x-p for all values of p. If (x + 2) is also a factor, find p. Find

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Given polynomial x

3

−px

2

+6x−p divided by x−p

If divided by x−p then x−p=0 or x=p

Replace x by p we get

q(x)=x

3

−px

2

+6x−p

q(p)=(p)

3

−p(p)

2

+6(p)−p

⇒q(p)=p

3

−p

3

+6p−p

⇒q(p)=5p

How satisfied are you with the answer?

This will help us to improve better

More Questions by difficulty

EASY

MEDIUM

HARD