Polynomials

Monomial x Polynomial

100

4x²(3x-2)

12x³-8x²

200

5x(3x²+2)

15x³+10x

300

3(x²+2x+6)

3x²+6x+18

400

6y(4y³-9y-7)

24y²-54²-42y

500

3xy(x²-xy-y⁶)

3x³y-3x²y²-3xy⁷

Multiplying Polynomials

100

(5x-1)²

25x²-10x+1

200

(8g-3)(-1+3g)

24g²-17g+3

300

What 2 methods can be used to multiply polynomials?

The foil and box method.

400

(2x-10)(x-7)

2x²-24x+70

500

(x+4)(x²+3x-6)

x³+7x²+6x-24

Subtracting Polynomials

100

(5x-2)-(7x-3)

-2x+1

200

(3x²-8x+7)-(2x²-6x+12)

x²-2x-5

300

(4x-5x²+14)-(9x²-10+8x)

-14x²-4x+24

400

(x² + 5) - (2x² + 9)

-x² - 4

500

(5x² + 3x + 7) - (x³ + 2x² + 1)

-x³ + 3x² + 3x + 6

Adding Polynomials

100

(-4-7x)+(-9+6x)

-13-x

200

(5x+7)+(5x+9)

10x+16

300

(x+2)+(3x+3)

4x+5

400

(7x²+3x-9)+(-3x²+4x-17)

4x²+7x-26

500

(2x²+3x-2)+(3x²-5x+1)

5x²-2x-1

Vocabulary

100

How many terms are in a binomial?

2

200

How many terms are in a monomial?

1

300

What is a variable?

The letter next to the coefficient (usually x,y)

400

How many terms are in a trinomial?

3

500

How many terms are in a polynomial?

4+