Question

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

विकल्प

• 2x − 1

• 2x + 1

• x − 1

•  x +1

Answer 1

Let f(x) be a polynomial such that `f(-1/2) = 0`

i.e.,  `x + 1/2 = 0` is a factor.

On rearranging  `x+ 1/2 = 0` can be written as (2x + 1) = 0

Thus,  (2x + 1)is a factor of f(x).