Characteristics of Polynomials

 $f\left(x\right)=x^3+x^2-24x+36$  
Which of the following is NOT a zero of this polynomial

• -6

• -1

• 2

• 3

Tags

CCSS.HSF-IF.C.7C

 $f\left(x\right)=x^3+x^2-24x+36$  is what type of polynomial (parent function)?

• Quadratic

• Cubic

• Quartic

• Degree 5

 $f\left(x\right)=x^3+x^2-24x+36$  has a maximum at which of the following?

• ( -3.2, 90.3)

• (-4.2, 97.5)

• (-3.7, 97.5)

• (-3.9, 88.6)

 $f\left(x\right)=x^3+x^2-24x+36$  has a minimum at which point

• (2.5, -2.1)

• (2.5, -3.1)

• (3.1, -2.1)

• (3.1, -2.5)

The given polynomial is decreasing over what interval?

• -3.2 < x < 2.5

• 90.3 < x < -2.1

• 2.5 < x < -3.2

• -2.1 < x < 90.3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

All polynomial functions have a domain of  $-\infty<x<\infty$  

• True

• False

 $-\infty<y<\infty$  All Polynomial functions have a range of

• True

• False

A polynomial has roots of -4, 1, and 6. What is the polynomial in factored form?

• (x+4)(x-1)(x-6)

• (x-4)(x+1)(x+6)

•  $-4x^2+x+6$  

•  $x^3-3x^2-22x+24$  

Tags

CCSS.HSA.APR.B.3

Which of the following is NOT a zero of $f\left(x\right)=x^4-19x^2-6x+72$  

• -3

• 2

• 3

• 4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

 $f\left(x\right)=x^4-19x^2-6x+72$  has a maximum at what point?

• (-0.16, 72.47)

• (3.16, 36.97)

• (0.54, 81.32)

• (-0.22, 68.32)