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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

A polynomial of degree 6 has 4 distinct real zeros. Which is possible for the multiplicities of these zeros?

  • A

    1,2,4,61, 2, 4, 6

  • B

    1,1,2,21, 1, 2, 2

    check_circle
  • C

    2,2,2,22, 2, 2, 2

  • D

    1,1,1,11, 1, 1, 1

Explanation

Multiplicities must sum to (at most) the degree 6 with 4 distinct zeros. 1+1+2+2=61+1+2+2 = 6, valid.

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