Polynomials Review

Describe the leading coefficient and degree of the polynomial.

• positive, odd

• negative, odd

• positive, even

• negative, even

Which root has a multiplicity of two?

• -2

• 0

• 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

 $f\left(x\right)=x^3-4x^2$  

What is the degree of the polynomial?

• 1

• 3

• -4

• 2

 $f\left(x\right)=x^3-4x^2$  
What are the zeros of the function?

• 0, 4

• 2, -2

• 4

• 0, 2, -2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

 $x^3+2x^2-4x-3$  

Is (x+3) a factor of the polynomial above?

• yes

• no

Tags

CCSS.HSA.APR.B.2

 $x^4-3x^2+5x-3$  
Is (x+2) a factor of the polynomial above?

• yes

• no

Tags

CCSS.HSA.APR.B.2

 $f\left(x\right)=x^2-1,\ g\left(x\right)=2x+4$  
Find g(f(x)).

•  $2x^2+2$  

•  $2x^2-2$  

•  $2x^2+6$  

•  $2x^{2\ }-1$  

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

 $f\left(x\right)=-x^4-x^3+2x^2-1$  
What is the relative minimum?

• there isn't one

• (0, -1)

• (-1.4, 1.8)

• (0.7, -0.6)

 $f\left(x\right)=-x^4-x^3+2x^2-1$  
Which is an increasing interval for the function above?

• ( $-\infty$  , 0)

• (0.7,  $\infty$  )

• (-1.4, 0)

• (0, 0.7)

Tags

CCSS.HSA.APR.B.3

 $f\left(x\right)=-x^4-x^3+2x^2-1$  
Describe the end bevavior: 
 $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow_{ }$  

•  $\infty$  

•  $-\infty$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10