Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

What is the remainder when p(x)=x34x2+2x+5p(x) = x^3 - 4x^2 + 2x + 5 is divided by x2x - 2?

  • A

    3-3

  • B

    00

  • C

    55

  • D

    11

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Explanation

By the Remainder Theorem, the remainder is p(2)=816+4+5=1p(2) = 8 - 16 + 4 + 5 = 1.

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