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Equivalent Expressions

SAT Math· difficulty 2/5

Which expression is equivalent to x2+7x+12x^2 + 7x + 12?

  • A

    (x+2)(x+6)(x + 2)(x + 6)

  • B

    (x−3)(x−4)(x - 3)(x - 4)

  • C

    (x+1)(x+12)(x + 1)(x + 12)

  • D

    (x+3)(x+4)(x + 3)(x + 4)

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Explanation

Find two numbers that multiply to 12 and add to 7: 3 and 4. So x2+7x+12=(x+3)(x+4)x^2 + 7x + 12 = (x+3)(x+4).

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