Factor: 8x^2 + 12x

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

Multiple Choice

Factor: 8x^2 + 12x

Explanation:
Factoring out the greatest common factor. In 8x^2 + 12x, both terms share 4x, since 8x^2 = 4x·2x and 12x = 4x·3. Pulling out 4x leaves 2x + 3, so it factors as 4x(2x+3). Checking by distributing confirms: 4x·2x = 8x^2 and 4x·3 = 12x, which matches the original expression. Other forms don’t fit because they change the middle term when expanded (for example, 2x(4x+9) expands to 8x^2 + 18x) or leave the expression unfactored. So the correct factorization is 4x(2x+3).

Factoring out the greatest common factor. In 8x^2 + 12x, both terms share 4x, since 8x^2 = 4x·2x and 12x = 4x·3. Pulling out 4x leaves 2x + 3, so it factors as 4x(2x+3). Checking by distributing confirms: 4x·2x = 8x^2 and 4x·3 = 12x, which matches the original expression. Other forms don’t fit because they change the middle term when expanded (for example, 2x(4x+9) expands to 8x^2 + 18x) or leave the expression unfactored. So the correct factorization is 4x(2x+3).

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