3A Quiz Graphing & Solving Polynomials A

Use a graphing calculator to determine which of the following polynomial functions BEST represents the given graph?

•  $f\left(x\right)=4x^3-x^2-3x$  

•  $f\left(x\right)=-x^3+6x^2-9x$  
  

•  $f\left(x\right)=-4x^3+x^2+3x$  
  

•  $f\left(x\right)=x^3-6x^2+9x$  
  

Use the given polynomial graph to find ALL the zeros.

• x = -1, x = 2, and x = 4

• x = -4, x = 0, x = 1, and x = 2

• x = -2, x = -1, x = 0, and x = 4

• x = -4, x = 1, and x = 2

Use a graphing calculator to find ALL the zeros of the polynomial function:   $p\left(x\right)=x^3-4x^2-4x+16$  

Choose all that apply.

•  $x=-2$  
  

•  $x=0$  
  

•  $x=2$  
  

•  $x=4$  

•  $x=16$  

If a polynomial has solutions at $x=-4,-2,\ and\ 3$  then which of the following functions could be used to represent this polynomial?

•  $f\left(x\right)=x\left(x-4\right)\left(x-2\right)\left(x+3\right)$  

•  $f\left(x\right)=x\left(x+4\right)\left(x+2\right)\left(x-3\right)$  

•  $f\left(x\right)=\left(x-4\right)\left(x-2\right)\left(x+3\right)$  

•  $f\left(x\right)=\left(x+4\right)\left(x+2\right)\left(x-3\right)$  

Given the polynomial function in factored form  $p\left(x\right)=x\left(x-1\right)\left(x+5\right)$  

What are the zeros/solutions?  Choose all that apply.

•  $x=-5$  

•  $x=-1$  

•  $x=0$  

•  $x=1$  

•  $x=5$