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Nonlinear Functions

SAT Math· difficulty 3/5

The polynomial f(x)=x3−x2−6xf(x) = x^3 - x^2 - 6x has how many distinct real x-intercepts?

  • A

    11

  • B

    33

    check_circle
  • C

    22

  • D

    00

Explanation

Factor: x(x2−x−6)=x(x−3)(x+2)x(x^2 - x - 6) = x(x-3)(x+2). Three distinct zeros: x=0,3,−2x = 0, 3, -2.

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