UNIT 3 - POLYNOMIAL REVIEW

What is the leading coefficient for the polynomial. Be sure to put in standard form.

 $f\left(x\right)=4x+2x^3-8$  

• The leading coefficient is 2

• The leading coefficient is 3

• The leading coefficient is 4

• The leading coefficient is 5

Which functions readily show the y-intercept of their graphs?

• $f\left(x\right)=3x^2-2$

• $f\left(x\right)=5-2x+3x^2+6x^3$

• $f\left(x\right)=2x\left(x-4\right)\left(x+1\right)$

• $f\left(x\right)=-3\left(x+1\right)\left(x-5\right)$

 $f\left(x\right)=3x\left(x-8\right)\left(2x+1\right)^2$  

Which of the following is NOT a solution 

•  $0$ 

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

•  $8$ 

Which equation MOST LIKELY matches the graph?

• $f\left(x\right)=x^4-x^3+3x^2+2$

• $f\left(x\right)=-x^4+x^3+5x+2$

• $f\left(x\right)=x^3-2x^2+x+3$

• $f\left(x\right)=x^3+3x^2+2$

 $f\left(x\right)=2x^3-19x^2+38x+24\ \$  

Use synthetic division to find all the real zeros of the function. $Given\ that\ \left(x-4\right)\ is\ a\ factor$  

•  $x=\frac{1}{2}\ \ \ x=-6$  

•  $x=-\frac{1}{2}\ \ \ \ \ \ x=6$ 

•  $x=4\ \ \ \ x=-\frac{1}{2\ }\ \ \ \ \ x=6$  

•  $x=-4\ \ \ \ x=\frac{1}{2}\ \ \ \ x=-6$  

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Tags

CCSS.HSF-IF.C.7C

What is the equation in factored form of this graph?

• $f\left(x\right)=\left(x-4\right)\left(x-1\right)^2\left(x+2\right)\left(x+4\right)$

• $f\left(x\right)=\left(x-4\right)\left(x+1\right)^2\left(x+2\right)\left(x+4\right)$

• $f\left(x\right)=\left(x-4\right)\left(x-1\right)^2\left(x-2\right)\left(x+4\right)$

• $f\left(x\right)=\left(x+4\right)\left(x+1\right)^2\left(x-2\right)\left(x-4\right)$

How many real zeros does the function have?

• None
• 2
• 3
• 4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Divide   $2x^3-5x^2-4x-25$  

by    $x-4$  

•  $2x^3+3x+\frac{7}{x-4}$  

•  $2x^2+3x+8+\frac{7}{x-4}$  

•  $2x^2+3x+8$ 

•  $2x^2-x+10+\frac{6}{x-4}$