Question

Write a standard form of a quadratic equation that has roots - 5/2 and 3.

Answer 1

2x^2 - x - 15 = 0.

Explanation:

In factor form this is

(x + 5/2)(x - 3) = 0

x^2 + 5/2x - 3x - 15/2 = 0

x^2 - 1/2x - 15/2 = 0

Multiply through by 2:

2x^2 - x - 15 = 0.