Question

The Quadratic has roots at x = 1/2 and x = -4. What is the Quadratic when written in factored form?

a) (2x - 1)(x + 4) = 0
b) (2x + 1)(x + 4) = 0
c) (2x - 1)(x - 4) = 0
d) (2x + 1)(x - 4) = 0

Answer 1

The Quadratic with roots at x = 1/2 and x = -4, when written in factored form, is (2x - 1)(x + 4) = 0.

Step-by-step explanation:

The Quadratic with roots at x = 1/2 and x = -4, when written in factored form, is:

(2x - 1)(x + 4) = 0

To obtain the factored form, we use the roots to identify the factors of the quadratic equation. The root x = 1/2 corresponds to the factor (2x - 1), while the root x = -4 corresponds to the factor (x + 4).

Thus, the correct option is a) (2x - 1)(x + 4) = 0.