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hjxnee4925
18.09.2019 •
Mathematics
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 .
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Ответ:
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
Ответ: