Alg 2 - Synthetic Division of Polynomials

Can you use synthetic division to divide these polynomials?
 $(2x^4-7x^3+14x^2-55x+21)\ \div\left(2x-7\right)$  

• NO

• YES

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

Can you use synthetic division to divide these polynomials?
 $(2x^3+7x^2-6x-8)\ ÷\ (x+4)$  

• NO

• YES

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

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.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Identify the missing term to complete the solution.

• 28

• 38

• 48

• 58

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

Identify the missing term to complete the solution.

• -2

• 2

• -3

• 3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

Divide $2x^3-5x^2+3x+7$ by  $x-2$  using Synthetic Division:

•  $2x^3-x^2+x+9$  

•  $2x^2-x+1$  

•  $2x^2-x+1+\frac{9}{x-2}$  

•  $2x^2-9x-15+\frac{-23}{x-2}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.7

Divide $2x^3+4x^2-5$  by  $x+3$  using synthetic division

•  $2x^2+2x-4+\frac{-12}{x+3}$  

•  $2x^2-2x+8+\frac{-20}{x+3}$  

•  $2x^2-2x+6+\frac{-23}{x+3}$  

•  $2x^2-4x+1$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

Divide using Synthetic Division: $(3x^3+5x-1)\ ÷\ (x+1)$ 

•  $3x^3-3x^2+8x-9$  

•  $3x^2-3x+8-\frac{9}{x+1}$  

•  $3x^2+3x+8+\frac{7}{x+1}$  

•  $3x^3+3x^2+8x+7$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Divide using Synthetic Division: $(2x^3-5x-7)\ ÷\ (x-2)$  

•  $2x^3-4x^2+3x-13$  

•  $2x^3+4x^2+3x-1$  

•  $2x^2-4x+3+\frac{-13}{x-2}$  

•  $2x^2+4x+3+\frac{-1}{x-2}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6