Polynomial Long Division & Synthetic Division Practice

Solve using Long Division. 

 $27x^3+9x^2-3x-10\ \div3x-2$  

•  $9x^4+5$ 

•  $9x^2+9x+5$ 

•  $9x^2-9x+5$  

•  $9x^2-9x$ 

Tags

CCSS.HSA.APR.D.6

 $\frac{2x^3-5x^2-4x-25}{x-4}$  

•  $2x^2+3x+8-\frac{57}{x-4}$  
  

•  $2x^2-13-56$  

•  $2x^2+3x+8+\frac{7}{x-4}$  

•  $2x2-3x-16-\frac{89}{x-4}$  

Tags

CCSS.HSA.APR.D.6

      Is  $(x-2)$  a factor of  $f(x)=x^3-8x^2+14x-4?$  

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

What should be the order of the polynomial coefficients if

 $\frac{3x-4x^3+6x^4+1}{x+3}$  

• 3  0  -4  6  1

• 6  -4  3  1  0

• 6  -4  0  3  1

• -6  4  0  -3  -1

Tags

CCSS.HSA.APR.D.6

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

• True
• False

What is the proper way to write the answer for the following problem?

• $2x^3-x^2-25x+12$

• $2x^4-x^3-25x^2-12x+0$

• $2x^3-x^2-25x-12$

• $2x^4-x^3-25x^2-12x-0$

Tags

CCSS.HSA.APR.D.6

 $x^3-3x^2-10x+24÷x+3$  

• x²-7x+5

• x-8

• x²-6x+8

• x+9

Tags

CCSS.HSA.APR.D.6

What is the degree of f(x)?

 $f(x)=2x^3-3x^2+4x-10$  

• 3

• 2

• 1

• 0

State the maximum number of turns the graph of  $f\left(x\right).$  

 $f(x)=2x^3-3x^2+4x-10$  

• 3

• 2

• 1

• 0

State the maximum number of zeros for  $f\left(x\right)$ .

 $f(x)=2x^3-3x^2+4x-10$  

• 3

• 2

• 4

• 1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3