Question

(x+a) will be a factor of the polynomial p(x) if..?
a) p(a) = 0
b) p(-a) = 0
c) p(a) ≠ 0
d) p(-a) ≠ 0

Answer 1

Answer:

$\huge{\boxed{\rm{\red{p(-a)=0}}}}$

Step-by-step explanation:

Given that :-

(x+a) is a factor of p(x),if p(-a)=0

This is known as Factor theorem in polynomials.

Factor theorem:-

Let p(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial then (x-a) is a factor of p(x) if p(a)=0 vice versa