Factor completely: 8x^2 − 4x.

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Multiple Choice

Factor completely: 8x^2 − 4x.

Explanation:
Look for a common factor in both terms. Both 8x^2 and -4x share a factor of 4x, so factor that out: 8x^2 - 4x = 4x(2x - 1). The remaining binomial 2x - 1 cannot be factored further over the integers, so this is the expression factored completely. You could also factor out a smaller piece first, like 2x, giving 2x(4x - 2); that still has a common factor of 2 inside, which would lead to 4x(2x - 1) when factored fully. Forms like 8x(x-0.5) are equivalent but use decimals, so they’re not the clean fully factored form.

Look for a common factor in both terms. Both 8x^2 and -4x share a factor of 4x, so factor that out: 8x^2 - 4x = 4x(2x - 1). The remaining binomial 2x - 1 cannot be factored further over the integers, so this is the expression factored completely.

You could also factor out a smaller piece first, like 2x, giving 2x(4x - 2); that still has a common factor of 2 inside, which would lead to 4x(2x - 1) when factored fully. Forms like 8x(x-0.5) are equivalent but use decimals, so they’re not the clean fully factored form.

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