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Equivalent expressions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

Which expression is a factor of $2 x^{2} + 38 x + 10$ ?

ExplanationShow

Choice A is correct. Since $2$ is a common factor of each of the terms in the given expression, the expression can be rewritten as $2 (x^{2} + 19 x + 5)$ . Therefore, the factors of the given expression are $2$ and $x^{2} + 19 x + 5$ . Of these two factors, only $2$ is listed as a choice.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is a term of the given expression, not a factor of the given expression.

Choice D is incorrect. This is a term of the given expression, not a factor of the given expression.

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