Question

2x^2 + 8x factor out the gcf

Answer 1

The answer is:

⇨ 2x(x + 4)

Work/explanation:

Let's find something that
`\sf{2x^2}` and
`\sf{8x}` have in common.

In other words, we find their GCF (greatest common factor).

The GCF of
`\sf{2x^2}` and
`\sf{8x}` is 2x.

So I factor it out :

`\sf{2x(x+4)}`

Hence, the answer is 2x(x + 4).

Answer 2

2x(x + 4)

Explanation:

The greatest common factor of 2x^2 and 8x is 2x. So, we can factor out 2x to get:

2x(x + 4)

The definition of a greatest common factor (GCF) is the largest number that is a factor of two or more numbers. In this case, 2x is the GCF of 2x^2 and 8x because it is the largest number that divides both numbers evenly.

Here are the steps on how to factor out the GCF:

• Find the GCF of the two numbers. In this case, the GCF is 2x.
• Write the GCF as a factor of each number.
• Combine the factors to get the factored expression.

In this case, the factored expression is 2x(x + 4).