Factor x^2 + 3x.

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Multiple Choice

Factor x^2 + 3x.

Explanation:
Pulling out the greatest common factor is the idea here. Both terms in x^2 + 3x share a factor x, so factor it out: x(x + 3). This works because multiplying x by x gives x^2 and multiplying x by 3 gives 3x, which recreates the original expression. The other forms don’t fit: (x + 3)^2 would expand to x^2 + 6x + 9, which is different; x^2 + 3 is missing the 3x term; and (x - 3)x equals x^2 - 3x, which changes the sign of the middle term.

Pulling out the greatest common factor is the idea here. Both terms in x^2 + 3x share a factor x, so factor it out: x(x + 3). This works because multiplying x by x gives x^2 and multiplying x by 3 gives 3x, which recreates the original expression. The other forms don’t fit: (x + 3)^2 would expand to x^2 + 6x + 9, which is different; x^2 + 3 is missing the 3x term; and (x - 3)x equals x^2 - 3x, which changes the sign of the middle term.

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