Question

Let f(x) be a polynomial such that $f\left(-\frac{1}{2}\right)$ = 0, then a factor of f(x) is
(a) 2x − 1

(b) 2x + 1

(c) x − 1

(d) x + 1

Answer 1

Let f(x) be a polynomial such that

i.e., is a factor.

On rearranging can be written as

Thus, is a factor of f(x).

Hence, the correct option is (b).