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:
2x² + 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

Its equal to d=7.07in

the image of (6, 9) under a dilation is (4, 6). the scale factor is

b. 2/3