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
ANSWERED
asked 2021-05-09
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)

Answers (1)

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)
Step 3 Answer
Option d is correct option.
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