Test on Polynomials

Sketch the graph of the function below:
f(x) = (x -1)(x + 1)(x - 4)

• 
• 
• 
• 

Sketch the graph of the function below:
f(x) = x(x -3)(x - 2)

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

Sketch the graph of the function below:
f(x) =  $x^4-4x^2$  

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

Sketch the graph of the function below:
f(x) = (x - 4)(x + 2)(x - 1)

• 
• 
• 
• 

Sketch the graph of the function below:
f(x) =  $2x^4\ -\ 4x^2$  

• 
• 
• 
• 

Sketch the graph of the function below:
f(x) =  $x^3\ +\ 5x^2\ -\ x\ -5$  

• 
• 
• 
• 

For each function below find the zeros and then give the multiplicity and behavior at each zero.

f(x) =  $3\left(x+1\right)\left(x+2\right)^3$  

• -1, multiplicity odd, crosses x-axis 
  -2, multiplicity odd, touches x-axis and turns around

• 1, multiplicity odd, crosses x-axis 
  2, multiplicity odd, crosses x-axis

• -1, multiplicity odd, crosses x-axis 
  -2, multiplicity odd, crosses x-axis

• 1, multiplicity odd, touches x-axis and turns around
   2, multiplicity odd, touches x-axis and turns around

Tags

CCSS.HSF-IF.C.7C

For each function below find the zeros and then give the multiplicity and behavior at each zero.

f(x) =  $x^3+x^2-42x$  

• 0, multiplicity odd, crosses the x-axis
   7, multiplicity odd, crosses the x-axis
  -6, multiplicity odd, crosses the x-axis

• 0, multiplicity odd, crosses the x-axis 
  - 7, multiplicity odd, crosses the x-axis 
  6, multiplicity odd, crosses the x-axis

• - 7, multiplicity even, touches the x-axis and turns around 
  6, multiplicity odd, crosses the x-axis

• 0, multiplicity odd, touches the x-axis and turns around
  - 7, multiplicity odd, touches the x-axis and turns around
   6, multiplicity odd, touches the x-axis and turns around

Tags

CCSS.HSF-IF.C.7C

For each function below find the zeros and then give the multiplicity and behavior at each zero.

f(x) =  $x^4+4x^3+4x^2$  

• 0, multiplicity odd, crosses the x-axis
   -2, multiplicity odd, crosses the x-axis
  2, multiplicity odd, crosses the x-axis

• 0, multiplicity even, touches the x-axis and turns around  
  2, multiplicity even, touches the x-axis and turns around 

• 0, multiplicity even, touches the x-axis and turns around 
  -2, multiplicity even, touches the x-axis and turns around 
  2, multiplicity even, touches the x-axis and turns around 

• 0, multiplicity even, touches the x-axis and turns around
  - 2, multiplicity even, touches the x-axis and turns around
  

Tags

CCSS.HSF-IF.C.7C

For each function below find the zeros and then give the multiplicity and behavior at each zero.

f(x) =  $\frac{1}{5}x^2\left(x+3\right)^3\left(x-9\right)$  

• 0, multiplicity odd, crosses the x-axis
   -3, multiplicity odd, crosses the x-axis
  9, multiplicity odd, crosses the x-axis

• 0, multiplicity even, touches the x-axis and turns around 
  3, multiplicity odd, crosses x-axis  
  -9, multiplicity odd, crosses the x-axis

• 0, multiplicity even, touches the x-axis and turns around 
  3, multiplicity even, touches the x-axis and turns around 
  -9 multiplicity even, touches the x-axis and turns around 

• 0, multiplicity even, touches the x-axis and turns around
  -3, multiplicity odd, crosses x-axis
  9 multiplicity odd, crosses x-axis