Question

Let f(x) be a polynomial such that f(-1/2) = 0, then a factor of f(x) is

Answer 1

Answer:

2x + 1

Step-by-step explanation:

It's given that the value of x = -1/2 , satisfies the function condition f(x) = 0

then , 2x + 1 = 0 , is a factor of f(x) .

so , (2x + 1) is a factor of f(X)

Answer 2

Answer:

1/2

Step-by-step explanation:

According to factor theorem, if p(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of p(x), if p(a)=0.

We know, f(-1/2) = 0

This implies, x + 1/2 is a factor of f(x)