school
Acemy

Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

What are the zeros of f(x)=(x−1)2(x+4)f(x) = (x - 1)^2(x + 4) and their multiplicities?

  • A

    x=1x = 1 with multiplicity 2; x=−4x = -4 with multiplicity 1

    check_circle
  • B

    x=1x = 1 with multiplicity 1; x=−4x = -4 with multiplicity 2

  • C

    x=1,−4x = 1, -4 each with multiplicity 1

  • D

    x=−1x = -1 with multiplicity 2; x=4x = 4 with multiplicity 1

Explanation

The factor (x−1)2(x-1)^2 gives x=1x = 1 with multiplicity 2; (x+4)(x+4) gives x=−4x = -4 with multiplicity 1.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode