3.6 Activity

Write the simplest polynomial with the zeros: x= -4 multiplicity 2, x=5

• $x^3+3x^2-24x-80$

• $x^3-5x^2-24x-80$

• $x^3+3x^2-20x-80$

• $x^3+3x^2-24x-88$

Write the simplest polynomial that has the zeros: x= -3, x=-2, x=0

• $x^3+5x^2+6x+3$

• $x^3+5x^2+6x$

• $x^3+5x^2+6x+6$

• $x^3+5x^2+13x$

Which of the choices is the correct polynomial with the zeros: x=0, x=1 multiplicity 2, x=5

• (x=0)(x=1)(x=5)

• (x-0)(x-1 multiplicity 2)(x-5)

• x(x-1)(x-5)

• x(x-1)(x-1)(x-5)

What is the quadratic formula?

• $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $\frac{b\pm\sqrt{2b-4ac}}{a^2}$

• $\frac{-b^2\pm\sqrt{-b-4ac}}{2a^2}$

• $\frac{-b\pm\sqrt{b-4ac}}{a}$

Where is the mistake in this solution process?

• Line 1

• Line 2

• Line 3

• Line 4

How many roots does this function have?

• 2

• 4

• -2, 2

• Zero

What are the nonreal zeros of this polynomial?
 $x\left(x+2\right)\left(x^2+4\right)$  

•  $x=\pm2i$  

•  $x=0,\ -2,\ \pm2i$  

•  $x=\pm\sqrt{-4}$  

•  $x=0,\ -2,\ \pm\sqrt{-4}$  

What are the nonreal zeros of this polynomial?
 $\left(x-2\right)\left(x\right)\left(x^2+25\right)$  

•  $x=\pm5i$  

•  $x=0,\ 2,\ \pm5i$  

•  $x=-2,\ 0,\ \pm5i$  

•  $x=\pm\sqrt{-25}$