Polynomials

Polynomials

• I can combine like terms to simplify expressions.

• I can multiply a monomial times a polynomial using the distributive property.

• I can add, subtract, and multiply polynomials.

Multiple Choice

I can combine like terms to simplify expressions.

Combine like terms to simplify the expression.

$$x^3+2x^2+7x+1+x^2-2x-4$$  

• $$x^3+3x^2-3$$  

• $$3x^2+5x$$  

• $$x^3+3x^2+5x-3$$  

Multiple Choice

I can combine like terms to simplify expressions.

Combine like terms to simplify the expression.

$$2x^3+3x^2+4x+x^3-2x-4$$  

• $$x^3+3x^2-3$$  

• $$3x^3+3x^2+2x-4$$  

• $$x^3+3x^2+5x-3$$  

Multiple Choice

I can add and subtract polynomials.

Simplify the expression

$$\left(3r^2+2r+4\right)+\left(6r^2+3r+8\right)$$  

• $$9r^2+5r+12$$  

• $$9r^3+8r^2+12$$  

• $$9r^3+5r^2+12$$  

Multiple Choice

I can add and subtract polynomials.

Simplify the expression

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

• $$9r^2+5r+12$$  

• $$-3r^2-r-4$$  

• $$9r^3+5r^2+12$$  

Multiple Choice

I can multiply a monomial times a polynomial using the distributive property.

Find the product.

$$7x\left(3x+2\right)$$  

• $$21x+14$$  

• $$21x^2+14x$$  

• $$10x+9$$  

Multiple Choice

I can multiply a monomial times a polynomial using the distributive property.

Find the product.

$$7xy\left(3x+2y\right)$$  

• $$21x+14$$  

• $$21x^2y+14xy^2$$  

• $$10x+9$$  

Multiple Choice

I can multiply polynomials.

Multiply the polynomials below and simplify.

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

• $$x^2-2x-8$$  

• $$x^2-4x+2x-8$$  

• $$2x-2$$  

Multiple Choice

I can multiply polynomials.

Multiply the polynomials below and simplify.

$$\left(2x^2y+2x\right)\left(3xy-4\right)$$  

• $$2x^3y^2-8x^2y+6x^2y-8x$$  

• $$2x^3y^2-2x^2y-8x$$  

• $$\left(2x^3y^2\right)\left(3xy-4\right)$$