Question

# Choose the complete factorization of 4x^{2} - 8x - 60. a)2(x + 3) (x - 5) b)4(x^{2} - 2x - 15) c)(2x + 6) (2x - 10) d)4(x + 3) (x - 5)

Polynomial factorization
Choose the complete factorization of $$4x^{2} - 8x - 60$$.
a)2(x + 3) (x - 5)
b)$$4(x^{2} - 2x - 15)$$
c)(2x + 6) (2x - 10)
d)4(x + 3) (x - 5)

2021-05-10
Step 1Factorization
Choose the complete factorization of $$4x^{2} - 8x - 60$$.
a)2(x + 3) (x - 5)
b)$$4(x^{2} - 2x - 15)$$
c)(2x + 6) (2x - 10)
d)4(x + 3) (x - 5)
Step 2 Solution
$$4x^{2}-8x-60$$
$$=4(x^{2}-2x-15)$$
$$=4(x^{2}-5x+3x-15)$$
=4(x(x-5)+3(x-5))
=4(x-5)(x+3)