Question

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 .

Answer 1

-3, 5/2

Explanation:

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 : 2, so the equation becomes 0 = 2(2x2+x-15)

Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)

Use the zero product property and set each factor equal to zero and solve.

x+3=0 2x-5 = 0

x = -3, 5/2

The roots of the function are -3, 5/2.

Answer 2

2

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

-3 and 5/2

Explanation: