Polynomial Equations and their Properties

Simplify.  Do not include spaces in your response.

 $\left(2-3i\right)\left(2+3i\right)\left(4+5i\right)$  

Tags

CCSS.HSN.CN.C.8

Simplify.  Do not include spaces in your response.  $\left(3+4i\right)+\left(2-5i\right)\left(3-2i\right)$  

Tags

CCSS.HSN.CN.A.2

Given the function with the zeros of:

 $x=2,\ \ x=3i,\ and\ x=-3i$  
Find the values of a, b, c, and d  in  $ax^3+bx^2+cx+d=0$  
List your answers in order (a,b,c,d) as comma separated with no spaces between characters.

Tags

CCSS.HSA.APR.B.3

What form is the following quadratic written in?
 $f\left(x\right)=a\left(x-h\right)^2\ +k$ 
 

• Standard Form 

• Vertex Form

• Quadratic Form

• Cubic Form

Find the cubic polynomial equation with roots -2, 2, and 4.

• $x^3+4x^2-4x\ +\ 16\ =\ 0$

• $x^3-4x^2-x\ +\ 16\ =0$

• $10x^3-x^2-x+16\ =\ 0$

• $x^3-4x^2-4x\ +\ 16\ =\ 0$

Tags

CCSS.HSA.APR.B.3

Find the zero(s) of the following equation:


 $g\left(x\right)=-9t^2-360$   

•  $$t=\pm \frac{\sqrt{40}}{3}$$ 

   

•  

   $t=\pm\sqrt{40}$ 

•  $t=\pm2i\sqrt{10}$  

•  $t=\pm2i$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Given the function:   $f\left(x\right)=-4x^2-6.6x-2.7$  

How many and what type of solutions does f(x)=0 have?

• Two distinct real roots

• One distinct real root

• one distinct non-real complex root

• two distinct non-real complex roots

Tags

CCSS.HSA-REI.B.4B

Simplify  $i^{\ 51}$  

•  $i$  

•  $-1$  

•  $-i$  

•  $1$  

Tags

CCSS.HSN.CN.A.2