Review for Polynomial Functions Test (Math 4)

The roots of a polynomial equation are

$x\ =\left\{-1,0,2\right\}$ . Determine the equation!

• $x^3-x^2-2x$

• $x^3-x^2-2$

• $x^2-x-2$

• $2x^3-x-2$

What is the equation describing the graph of this polynomial function?

• $-6-x-7x^2+x^3+x^4$

• $6-x-7x^2+x^3+x^4$

• $6+x+7x^2+x^3+x^4$

• $6-x-7x^2-x^3-x^4$

 $x^5+3x^2-4x+120$  has how many total possible  positive real solutions?

• 4

• 3

• 2

• 1

• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

 $x^5+3x^2-4x+120$  has how many total possible  negative real solutions?

• 4

• 3

• 2

• 1

• 5

 $x^5+3x^2-4x+120$  has how many total possible  imaginary solutions?

• 4

• 3

• 2

• 1

• 0

When looking for possible negative roots, we need to look at...

• $f\left(x\right)$

• $f\left(-x\right)$

• $-f\left(x\right)$

• $x^n$ (highest power)

When looking for possible positive roots, we need to look at...

• $f\left(x\right)$

• $f\left(-x\right)$

• $-f\left(x\right)$

• $x^n$ (highest power)

If  $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then  $\left(f+g\right)\left(x\right)=$ 

•  $5x^2+1$  

•  $5x^2-3$  

•  $6x+1$  

•  $6x-3$  

Tags

CCSS.HSF-BF.A.1B

If  $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then  $\left(f-g\right)\left(x\right)=$ 

• -4x - 3

• -4x +1

• 6x + 1

• 6x - 3

Tags

CCSS.HSF-BF.A.1B

If  $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then  $\left(f\cdot g\right)\left(x\right)=$ 

•  $5x-3$  

•  $5x^2+2$  

•  $5x^2-7x+2$  

•  $5x-7$  

Tags

CCSS.HSF-BF.A.1B