Question

if (x- 2) is factor of p(x) is a zero ofp(x)​

Answer 1

Answer:

For finding the remainder we need to use remainder theorem

Let p(x)=x

2

+px+3−p

As x+p is a factor of p(x), we need to equate it to 0 and put that value of x in p(x).

So, x+p=0

or, x=−p

As, −p is a zero of p(x), so,

p(−p)=(−p)

2

+p(−p)+3−p=0

⇒p

2

−p

2

+3−p=0

or, p=3