DIVISION OF POLYNOMIALS

Use long division to solve:  $\left(3y^5+5y^2-12y+10\right)\div\left(y^2+2\right)$  

•  $3y^3+6y^2+5y$  

•  $3y^4-6y^2+5$  

•  $3y^3-6y^2+5y-5$  

•  $3y^3-6y+5$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Use long division to solve:  $\left(x^5+12x^2-5x\right)\div\left(x^2-2x+5\right)$  

•  $x^3-2x-1$  

•  $x^3-2x^2-2x$  

•  $x^3+2x^2-x$  

•  $x^3+2x^2-2x$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Use long division to solve:  $\left(4y^3-2y^5+y^6-y^4-4y+2\right)\div\left(y^4+2-2y^2\right)$  

•  $-y^2+2y-1$  

•  $y^2-2y+1$  

•  $y^2+2y-1$  

•  $y^2-2y+2$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

4x⁴+4x³-9x²-x+2 ÷ x-1

• 4x³+8x²-7x-2
• 4x³+19x²-x-2
• 4x³+8x²-x-9
• 4x³+8x²-x-2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

Tags

CCSS.HSA.APR.D.6

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13
• 2x³ + 4x² +3x - 1
• 2x² - 4x + 3 - 13/x-2
• 2x² + 4x + 3 - 1/x-2

Tags

CCSS.HSA.APR.D.6

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

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Tags

CCSS.HSA.APR.D.6

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.D.6

The total number of video cassettes sold from 1995 to 2005 at Bob’s store can be modeled by the function   $F\left(x\right)=4x^3+14x^2+200x+1560$  and the number of kinds of video cassettes in Bob’s store from 1995 to 2005 can be modeled by G(x) = 2x + 12, where x is the number of years since 1995. Which of the following expressions correctly describes the average number of each kind of video cassettes that Bob sold?

•  $2x^2+5x+96$  

•  $4x^2+5x-86$  

•  $2x^2-5x+130$  

•  $3x^2+12x-233$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

The total number of fans who went to watch professional tennis games from March to December can be modeled by the function $F\left(x\right)=90x^3+232x^2+1075x+3125$    and the number of professional tennis games played from March to December can be modeled by G(x) = 9x + 25, where x is the number of months since the March. Which of the following expressions correctly describes the average number of fans per tennis game?

•  $25x^2-2x+125$  

•  $45x^2+2x+125$  

•  $9x^2+2x+125$  

•  $10x^2-2x+125$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3