Question

Factor completely.

6x^2- 150

A) 6(x-5)^2
B) 6(x-5) (x+5)
C) (3x+2) (2x-75)
D) 6(x+5)^2
E) (2x-15) (3x+10)​

Answer 1

B) 6(x-5) (x+5)

Explanation:

Common factor.

6 ( ^2 − 25)

Use the sum-product pattern.

6 ( ^2+5−5−25).

Common factor from the two pairs.

6((+5)−5(+5)).

Rewrite in factored form.

6 ( − 5 ) ( + 5).