Question

Which of the following is the complete factorization of 3x 2 - 6x - 240?

3(x - 2)(x - 80)
3(x + 8)(x - 10)
3x(x - 2)(x - 10)

Answer 1

B

Explanation:

Answer 2

Option B.

Explanation:

The given expression is

`3x^2-6x-240`

We need to find the complete factored form of the given expression.

Taking out GCF, we get

`3(x^2-2x-80)`

Splitting the middle term, we get

`3(x^2-10x+8x-80)`

`3(x(x-10)+8(x-10))`

Taking out common factor.

`3(x-10)(x+8)`

`3(x+8)(x-10)`

It is the complete factored form.

Hence, the correct option is B.