Step 1: Identify the greatest common factor (GCF) of the terms. The coefficients are 4, 12, and 8. The greatest common factor of these numbers is 4. 4x² + 12x + 8 Step 2: Factor out the GCF from the expression. 4(x² + 3x + 2) Step 3: Factor the quadratic trinomial inside the parentheses, x² + 3x + 2. We need two numbers that multiply to 2 and add to 3. These numbers are 1 and 2. 4(x+1)(x+2) The factored expression is: 4(x+1)(x+2)

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4x2 + 12x + 8

June 1, 2026Mathematics

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Answer

4(x+1)(x+2)

Step-by-step solution

3 steps

Identify the greatest common factor (GCF) of the terms.
The coefficients are 4, 12, and 8. The greatest common factor of these numbers is 4.
$4x^2 + 12x + 8$
Factor out the GCF from the expression.
$4(x^2 + 3x + 2)$
Factor the quadratic trinomial inside the parentheses, $x^2 + 3x + 2$ .
We need two numbers that multiply to 2 and add to 3. These numbers are 1 and 2.
$4(x+1)(x+2)$

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4x2 + 12x + 8

Answer

Step-by-step solution

Identify the greatest common factor (GCF) of the terms.

Factor out the GCF from the expression.

Factor the quadratic trinomial inside the parentheses, x2+3x+2x^2 + 3x + 2x2+3x+2.

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More Mathematics Questions

Factor the quadratic trinomial inside the parentheses, $x^2 + 3x + 2$ .