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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

When p(x)=x4−3x2+ax+6p(x) = x^4 - 3x^2 + ax + 6 is divided by x+2x + 2, the remainder is 4. What is the value of aa?

  • A

    33

    check_circle
  • B

    −1-1

  • C

    11

  • D

    −3-3

Explanation

p(−2)=16−12−2a+6=10−2a=4p(-2) = 16 - 12 - 2a + 6 = 10 - 2a = 4, so 2a=62a = 6, a=3a = 3.

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