Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

If x=1x = -1 is a root of p(x)=x3+2x25x6p(x) = x^3 + 2x^2 - 5x - 6, what are the other roots?

  • A

    x=3,2x = 3, -2

  • B

    x=1,6x = 1, 6

  • C

    x=3,2x = -3, 2

    check_circle
  • D

    x=3,2x = 3, 2

Explanation

Divide by x+1x + 1: quotient x2+x6=(x+3)(x2)x^2 + x - 6 = (x+3)(x-2). Other roots: 3,2-3, 2.

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