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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

What is the quotient when x2+5x+6x^2 + 5x + 6 is divided by x+2x + 2?

  • A

    x+2x + 2

  • B

    x+3x + 3

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  • C

    x+6x + 6

  • D

    x−3x - 3

Explanation

x2+5x+6=(x+2)(x+3)x^2 + 5x + 6 = (x+2)(x+3), so the quotient is x+3x + 3 with no remainder.

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