Add, Subtract, and Factor Polynomials

Add, Subtract, and Multiply Polynomials

I Can Add, Subtract, and Multiply Polynomials.

Multiple Choice

Simplify the expression. 

$$\left(4v^4+1+5v^2\right)+\left(4v^2+5v^4-2\right)$$  

• $$9v^4+9v^2-1$$  

• $$9v^4+9v^2$$  

• $$9v^4+2v^2$$  

• $$9v^4+3v^2$$  

Multiple Choice

Simplify.

$$\left(7n+n^3-5n^4\right)+\left(3n-4n^4+3n^3\right)$$  

• $$-9n^4+8n^3+5n$$  

• $$-11n^4+4n^3+10n$$  

• $$-9n^4+8n^3+10n$$  

• $$-9n^4+4n^3+10n$$  

Multiple Choice

Simplify the expression. 

$$\left(7v^2-6v^3-7v^4\right)-\left(4v^2+7v^3+8v^4\right)$$  

• $$-23v^4-17v^3+3v^2$$  

• $$-23v^4-13v^3+3v^2$$  

• $$-15v^4-13v^3+3v^2$$  

• $$-23v^4-10v^3+3v^2$$  

Multiple Choice

Simplify the expression. 

$$\left(3x^4+7x^3+1\right)-\left(4x^3-6x^2+8x^4\right)$$  

• $$-9x^4+4x^3+6x^2+1$$  

• $$-9x^4+4x^3+2x^2+1$$  

• $$-5x^4+3x^3+6x^2+1$$  

• $$-9x^4+3x^3+6x^2+1$$  

I can perform operations on functions to answer real-world questions.​

​MGSE9-12.F.BF.1b Combine standard function types using arithmetic operations in contextual situations.

Multiple Choice

Find the product.

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

• $$36x^3-18x^2+26x-30$$  

• $$7x^3+57x^2+13x+40$$  

• $$5x^3-13x^2+13x-14$$  

• $$24x^3-4x^2-66x-24$$  

Multiple Choice

Simplify.

$$\left(4m^2-6m-4\right)\left(3m^2+8m-7\right)$$  

• $$4m^4-8m^2-16$$  

• $$12m^4-48m^2+28$$  

• $$12m^4+14m^3-88m^2+10m+28$$  

• $$4m^4+14m^3+4m^2+66m-16$$