Question

What is the expression in factored form?

-20x^2 - 12x

a. 4x(5x+3)
b. -4x(5x-3)
c. -4(5x+3)
d. -4x(5x+3)

Answer 1

Choice d is correct answer.

Explanation:

Given expression is :

-20x²-12x

As we have noticed that there are multiples of 4 in above expression.

taking 4 as common,we get

4(-5x²-3x)

we can also write it

4((-1)(5)x² + (-1)(3)x)

taking -1 as common,we get

4(-1)(5x²+3x)

-4(5x²+3x)

taking x common from above expression,we get

-4x(5x+3) which is the factored form of -20x²-12x.

Answer 2

`\boxed{-4x(5x+3)}`

Explanation:

The given expression is
`-20x^2-12x`

The highest common factor is
`-4x`

We take the highest common factor out to obtain the completely factored form as:

`-4x(5x+3)`