Question

If x - p is a factor of the polynomial f(x) = p(px3 - px + 1) + x + 1​

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

Explanation:

I hope this help I'm not sure if this is the exact answer you wanted

Answer 2

Answer:

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Explanation: