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Nonlinear Functions

SAT Math· difficulty 5/5

A monic polynomial f(x)f(x) has zeros at x=0x = 0 (multiplicity 2) and x=3x = 3 (multiplicity 1). Which expression represents f(x)f(x)?

  • A

    (x−3)(x2+3)(x - 3)(x^2 + 3)

  • B

    x(x−3)2x(x - 3)^2

  • C

    x2(x−3)x^2(x - 3)

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  • D

    x3−3x^3 - 3

Explanation

Monic with given zeros: f(x)=x2(x−3)f(x) = x^2(x - 3).

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