Question

If P(2)= 0 for polynomial P (x), then one factor of P(x) is .....

Answer 1

Answer:

(x-2)

Step-by-step explanation:

Since for any polynomial P(x), P(2) = 0,

we can say that as we substitute x=2 in that polynomial, it results to 0.

Hence (x-2) is a root or factor of P(x).

Cheers!

Answer 2

Answer:

If P(2)= 0 for polynomial P (x), then one factor of P(x) is (x-2) by factor theorem

Step-by-step explanation:

Factor theorem:

If p(x) be any polynomial of the dgree is greater than or equal to 1 is divided by another polynomial (x-a) then if p(a)=0 then (x-a) is a factor of p(x) .vice-versa

Given polynomial p(x) has the value is 0 if p(2) then (x-2) is the factor of p(x).