Chapter 8

Adding and Subtracting Polynomials

100

What does it mean to put something in "Standard Form"

put the terms in order from greatest to least degree

200

What is the degree of a number in a polynomial with no variable (example: x+6)

zero

300

Find the sum: (2x²+6x+4)+(5c²-7)

7x²+6x-3

400

Find the difference: (3x³-x+11)-(x²+2x+8)

3x³-x²-3x+3

500

Find the difference: (5x-2y²+2xy)-(4y²+2xy)

-6y²+5x

Multiplying a Polynomial by a Monomial

100

Is 2x a monomial or a polynomial?

monomial

200

What property is used to find the product of a monomial and a polynomial?

distributive property

300

Find the product: 5x(-3x²+2x-4)

-15x³+10x²-20x

400

4xy²(8xy²+2x²y+5x)

32x²y⁴+8x³y³+20x²y²

500

Solve: -6(11-2x)=7(-2-2x)

2

Multiplying Polynomials

100

What does FOIL stand for?

first outer inner last

200

Find the product: (x+5)(x+2)

x²+7x+10

300

Find the product: (4x+3)(x+9)

4x²+39x+27

400

Find the product: (8x+1)(x-1)

8x²-7x-1

500

Find the product: (2x-9)(3x²+4x-4)

6x³-19x²-44x+36

Special Products

100

Define the difference between a sum and a difference

sum=addition difference=subtraction

200

Find the product: (3x+5y)²

9x²+24xy+16y²

300

Find the product: (11-x)²

121-22x+x²

400

Find the product: (x+3)(x-3)

x²-9

500

Find the product: (3x+6y)²

9x²+36xy+36y²

Factoring

100

What does GCF stand for?

greatest common factor

200

What is a greatest common factor?

The greatest term that all factors have in common

300

Factor: 21x-15y

3(7x-5y)

400

Factor: xy+2x+8y+16

(x+8)(y+2)

500

Solve: (4x+2)(2x-9)=0

-1/2 and 3