school
Acemy

Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

The polynomial f(x)=x4−6x3+9x2f(x) = x^4 - 6x^3 + 9x^2 has a zero at x=0x = 0 with what multiplicity?

  • A

    22

    check_circle
  • B

    33

  • C

    11

  • D

    44

Explanation

Factor: x2(x2−6x+9)=x2(x−3)2x^2(x^2 - 6x + 9) = x^2(x-3)^2. So x=0x = 0 has multiplicity 2.

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