Question

Let f(x) be a polynomial such that $f(-\frac{1}{2})$

=0, then a factor of f(x) is

• A. x - 2
• B. x + 2
• C. 2x - 1
• D. 2x + 1

Answer 1

The correct option is D

2x + 1

$\because f(-\frac{1}{2})=0$

$\therefore x=-\frac{1}{2}\Rightarrow$ 2x =-1

$\Rightarrow$ 2x + 1 = 0

$\therefore$ 2x + 1 is a factor of f(x)