Factor the GCF out of:8x+128x+12

4 ( 2 x + 3 ) 4\left(2x+3\right) 4 ( 2 x + 3 )

Factor the GCF out of: 8 x + 12 8x+12

Here we have the polynomial eight x plus 12, and we want to factor it using the GCF method. So first, we need to identify what the greatest common factor is. So we're going to list out the prime factorization for each of our terms. We know that the prime factorization for eight is two times two times two, and for x is just x. And the prime factorization for 12 is two times two times three. So the factors that they have in common are two, as well as a second two, which makes our greatest common factor two times two, which is four. So now I want to rewrite each term as a product with the greatest common factor. So what can I multiply four by to get eight x? Well that would be two x. So I can rewrite eight x as four times two x. And what can I multiply four by to get 12? That's three. So I can rewrite 12 as four times three. Now I can factor out four and I'm left with two x plus three. And this here is our final answer.

Factor the GCF out of: 8 x + 12 8x+12

4 ( 2 x + 3 ) 4\left(2x+3\right) 4 ( 2 x + 3 )

2 ( 4 x + 6 ) 2\left(4x+6\right) 2 ( 4 x + 6 )

2 ( 4 x + 3 ) 2\left(4x+3\right) 2 ( 4 x + 3 )

4 ( 2 x + 6 ) 4\left(2x+6\right) 4 ( 2 x + 6 )

7. Factoring

Factoring by Greatest Common Factor & Grouping

Beginning & Intermediate Algebra

7. Factoring

Factoring by Greatest Common Factor & Grouping

Struggling with Beginning & Intermediate Algebra?

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Multiple Choice

Factor the GCF out of:
$8 x plus 12$

$2\left(4x+6\right)$

$2\left(4x+3\right)$

$4\left(2x+3\right)$

$4\left(2x+6\right)$

Verified step by step guidance

Identify the terms in the expression: \$8x + 12$.

Find the greatest common factor (GCF) of the coefficients 8 and 12. To do this, list the factors of each number and find the largest one they share.

Once the GCF is found, factor it out of each term in the expression. This means dividing each term by the GCF and writing the expression as the GCF multiplied by the resulting simplified terms.

Write the factored form as $\text{GCF} \left( \frac{8x}{\text{GCF}} + \frac{12}{\text{GCF}} \right)$.

Simplify the terms inside the parentheses to get the final factored expression.

5:47m

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