Question

The value of p for which x + p is a factor of x2

+ px + p – 3 :

(a) 3 (b) -3 (c) -1 (d) 1​

Answer 1

Step-by-step explanation:

For finding the remainder we need to use remainder theorem

Let p(x)=x2+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

⇒p2−p2+3−p=0

or,  p=3