Polynomial Operations Review

Which expression is equivalent to the following?

 $8x^3+5x^2-10-9x^2+4$  

•  $8x^3+14x^2+6$  

•  $8x^3-4x^2-6$  

•  $4x^7-6$  

•  $8x^3+14x^2+14$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify.

 $\left(3x\ +4\right)\left(2x-5\right)$  

•  $6x^2-7x-20$  

•  $5x\ -1$  

•  $x+9$  

•  $6x^2+23x+20$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which expression is equivalent to the following?

 $4x^3y\left(-2x^3y^2+4x^2y\right)$  

•  $8x^{11}y^5$  

•  $2x^6y^3+8x^5y^2$  

•  $-8x^6y^3+16x^5y^2$  

•  $-8x^9y^2+16x^6y$  

Which is equivalent to

 $\left(7x^2+12x-4\right)+\left(3x^2-5x-11\right)$  

•  $10x^4+7x^2-15$  

•  $10x^2+7x-15$  

•  $10x^2+17x+15$  

•  $10x^4+17x^2+15$  

Which is equivalent to the following expression?

 $\left(22x^2+3x-10\right)-\left(13x^2+6x-5\right)$  

•  $9x^2-3x-15$  

•  $35x^2+9x-15$  

•  $9x^2+3x-15$  

•  $9x^2-3x-5$  

Simplify. Write your answer in standard form.

 $\left(4x^3+10x^2-4x+7\right)+\left(4x^2-8x+2\right)$  

Simplify. Write your answer in standard form.

 $\left(5x^2-13x+4\right)-\left(11x^2-x-3\right)$  

Simplify. Write your answer in standard form.

 $\left(4m^4+2m^2-8\right)+\left(10m^4+3m^3+2m\right)-\left(6m^4-6m^2-m-3\right)$  

Simplify. Write your answer in standard form.

 $\left(4x-2\right)\left(5x^3+4x-8\right)$  

The profit function P(x), is modeled by P(x) = R(x) - C(x), where R(x) is revenue and C(x) is cost. You own a pencil making company in which your revenue can be modeled as

 $R\left(x\right)\ =\ 4x^2+2x\ -\ 11$  and your cost can be modeled as  $C\left(x\right)\ =\ x^2\ -4$  . Find a function to model your profit. 

•  $P\left(x\right)=3x^2+2x-7$  

•  $P\left(x\right)=3x^2+2x-15$  

•  $P\left(x\right)=5x^2+2x-15$  

•  $P\left(x\right)=5x^3-7$