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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

What is the remainder when p(x)=2x3+x2−5x+3p(x) = 2x^3 + x^2 - 5x + 3 is divided by x+1x + 1?

  • A

    11

  • B

    −1-1

  • C

    77

    check_circle
  • D

    55

Explanation

Remainder =p(−1)=2(−1)+1−5(−1)+3=−2+1+5+3=7= p(-1) = 2(-1) + 1 - 5(-1) + 3 = -2 + 1 + 5 + 3 = 7.

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