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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

A polynomial f(x)=(x+1)(x−2)2(x−5)f(x) = (x + 1)(x - 2)^2(x - 5) has how many distinct real zeros?

  • A

    33

    check_circle
  • B

    44

  • C

    11

  • D

    22

Explanation

The distinct zeros are x=−1,2,5x = -1, 2, 5, so 3 distinct zeros (note x=2x = 2 has multiplicity 2 but counts once as distinct).

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