Sketching Polynomial Graphs

What are the x-intercepts and their multiplicities for the following polynomial?  $f\left(x\right)=\left(x+3\right)\left(x+1\right)^2\left(x-1\right)$  

•  $x=-3,\ -1\ multiplicity\ of\ 2,\ 1$  

•  $x=3,\ 1\ multiplicity\ of\ 2,\ -1$  

•  $x=-3,\ 1\ multiplicity\ of\ 2,\ -1$  

•  $x=\ 3,\ -1\ multiplicity\ of\ 2,\ 1$  

Tags

CCSS.HSF-IF.C.7C

What are the leading coefficient (positive or negative) and degree (even or odd) for the following polynomial?  $f\left(x\right)=-\left(x+2\right)^3\left(x-3\right)^2$  

• Positive, Odd

• Positive, Even

• Negative, Odd

• Negative, Even

Tags

CCSS.HSF-IF.C.7C

What are the leading coefficient (positive or negative) and degree (even or odd) for the following polynomial?  $f\left(x\right)=-\left(x-1\right)\left(x-2\right)\left(x-3\right)\left(x-4\right)$  

• Positive, Odd

• Positive, Even

• Negative, Odd

• Negative, Even

Tags

CCSS.HSA.APR.A.1

In the following polynomial, which of the x-intercepts will "bounce". $f\left(x\right)=\left(x-1\right)^4\left(x-2\right)^5\left(x-3\right)$  

• x = 1
  

• x = 1, 2

• x = 1, 3

• x = 2, 3

• x = 2

Tags

CCSS.HSA.APR.B.3

For the following polynomial, will the left side of the graph have an arrow pointing up, or an arrow pointing down?  $f\left(x\right)=-\left(x-1\right)^4$  

• Up

• Down

For the following polynomial, will their ends go in the same direction or opposite directions?  $f\left(x\right)=\left(x-1\right)^3\left(x-2\right)$  

• Same
  

• Opposite

Tags

CCSS.HSA.APR.A.1

Which factor would "snake" at the x-intercept?

• $-x$

• $\left(x-1\right)$

• $\left(x+2\right)^2$

• $-\left(x-3\right)^3$