What is the remainder when $x^3-1$ is divided by $x+2$ ?  

Tags

CCSS.HSA.APR.B.2

The function below,  $f\left(x\right)$  has $x-7$ and  $x+4i$ as factors.
 $f\left(x\right)=2x^5-13x^4+22x^3-187x^2+160x+336$  
What is the total number of real zeros of  $f\left(x\right)$  ?

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

The graph of the function $m\left(x\right)=x^3+3x^2-2x-4$  has a zero at -1. What are the other zeros of the function?

•  $-2\ and\ 2$  

•  $-1\ and\ 4$  

•  $-1\pm\sqrt{5}$  

•  $1\pm2\sqrt{3}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Which expression is equivalent to $\left(x^2-2x-37\right)$  divided by  $\left(x^2-3x-40\right)$  

•  $1+\frac{x+3}{x^2-3x-40}$  

•  $1-\frac{x+3}{x^2-3x-40}$  

•  $1+\frac{2x-37}{x^2-3x-40}$  

•  $1-\frac{2x-37}{x^2-3x-40}$  

Tags

CCSS.HSA.APR.D.6

What value of A will make the equation true?

 $\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$   $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$  

•  $12$  

•  $13$  

•  $16$  

•  $29$  

Tags

CCSS.HSA.APR.D.7

What value of B will make the equation true?

 $\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$   $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$  

•  $-31$  

•  $-33$  

•  $-43$  

•  $-51$  

Tags

CCSS.HSA.APR.D.7

What value of C will make the equation true?

 $\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$   $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$  

•  $-7$  

•  $-3$  

•  $13$  

•  $16$  

Tags

CCSS.HSA.APR.D.7

 $\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}$  

Which expression is equivalent to

•  $\frac{\left(x-2\right)^3}{\left(x-3\right)^2}$  

•  $\frac{\left(x+2\right)^3}{\left(x+3\right)^2}$  

•  $\frac{1}{x-3}$  

•  $\frac{1}{x-2}$  

Tags

CCSS.HSA.APR.D.7

A company makes and boxes spaghetti.

~One machine fills each box with approximately 32 ounces of spaghetti.

~After the boxes are filled, another machine weighs each box.

~A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces.

Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?

• $\left|x-0.25\right|\le32$

• $\left|x+0.25\right|\le32$

• $\left|x-32\right|\le0.25$

• $\left|x+32\right|\le0.25$

Tags

CCSS.HSA.CED.A.3

The graph of an equation is shown. Which equation represents the graph?

• $y=\left|x\right|-2$

• $y=\left|2x\right|-2$

• $y=\left|x-2\right|$

• $y=\left|2x-2\right|$

Tags

CCSS.HSF-IF.C.7D