What are the roots of the function y = 4x2 + 2x - 30? To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x - 30.

Factor out the GCF of.

Next, factor the trinomial completely. The equation becomes.

Use the zero product property and set each factor equal to zero and solve. The roots of the function are.

4x² + 2x - 30 = 0

factor out the GCF:

2 (2x² + x - 15) = 0

factor the trinomial completely:

2x ² + x - 15 = 0

2x² + 6x - 5x - 15 = 0

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

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

use the zero product property and set each factor equal to zero and solve:

2x - 5 = 0 or x + 3 = 0

2x = 5 x = - 3

x = 2.5

The roots of the function are x=-3, x=2.5