school
Acemy

Nonlinear Functions

SAT Math· difficulty 5/5

A polynomial f(x)f(x) has degree 4, leading coefficient −1-1, and zeros at x=−2x = -2 (multiplicity 2) and x=3x = 3 (multiplicity 2). What is the y-intercept?

  • A

    3636

  • B

    −12-12

  • C

    1212

  • D

    −36-36

    check_circle

Explanation

f(x)=−(x+2)2(x−3)2f(x) = -(x+2)^2 (x-3)^2. Then f(0)=−(2)2(−3)2=−(4)(9)=−36f(0) = -(2)^2(-3)^2 = -(4)(9) = -36.

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