Zeros of Polynomial Functions

Given the zero, $x=6$ , find the factor.

• (x+6)

• (x-6)

• (x+2)

• (x-2)

Given the factor, $\left(3x-12\right)$  , find the zero.

•  $x=12$  

•  $x=-12$  

•  $x=4$  

•  $x=-4$  

A polynomial function has a solution of $x=-5$  . Which expression must be a factor of the polynomial?

•  $\left(x-5\right)$  

•  $\left(x+5\right)$  

•  $\left(x-10\right)$  

•  $\left(x+10\right)$  

Which value is not a zero of the given function? $b\left(x\right)=x^3+3x^2-x-3$  

•  $x=1$  

•  $x=-1$  

•  $x=-3$  

•  $x=3$  

Which of the following polynomial functions does not have a zero of $x=2$  ?

•  $f\left(x\right)=x^4-4x^3+x^2+6x$  

•  $g\left(x\right)=5x^3-30x^2+55x-30$  

•  $h\left(x\right)=3x^3-9x^2+12$  

• None of the above

Which of the following polynomial functions does not have a zero of $x=-1$  ?

•  $f\left(x\right)=x^4-4x^3+x^2+6x$  

•  $g\left(x\right)=5x^3-30x^2+55x-30$  

•  $h\left(x\right)=3x^3-9x^2+12$  

• None of the above

Determine if (x-1) is a factor of the given polynomial.  $f\left(x\right)=2x^3-3x^2-5x-12$  

• Yes,  $\left(x-1\right)$  is a factor.

• No,  $\left(x-1\right)$  is not a factor.

• Cannot be determined.

Which of the following are not solutions to the given polynomial equation? $f\left(x\right)=x^2-16x+48$  Select all that apply.

•  $x=4$  

•  $x=12$  

•  $x=-4$  

•  $x=-12$  

Which of the following statements is true for the given polynomial function? $p\left(x\right)=2x^4+x^3-6x^2-7x-2$  

•  $f\left(1\right)=0$  

•  $f\left(-2\right)=0$  

•  $f\left(0\right)=-1$  

•  $f\left(-1\right)=0$  

Which of the following statements is false for the given function? $g\left(x\right)=2x^2-3x-2$  

•  $\left(x-2\right)\$ is a factor

•  $f\left(2\right)=0$  

•  $x=2$  is a solution

•  $x=1$  is a solution

•  $x=-1$  is a solution