Polynomials

Addition

100

Simplify 

(2x+6)+(-5x+7)

-3x+13

200

When adding and subtracting polynomials what do you combine?

Like terms

300

What does not change when adding or subtracting like terms?

The variable and exponent

400

(2x²-7x+9)+(-3x²+4x-5)

-x²-3x+4

500

(12x-4x²-4) + (-4x²-9x+8)

-8x²+3x+4

Multiplication

100

What kind of math do you use when you distribute?

Multiplication

200

4(2x+3)

8x+12

300

5(3x-2)

15x-10

400

(x+5)(x-5)

x²-25

500

(2x+1)²

4x²+4x+1

Multiplication cont.

100

What method do you use when multiplying polynomials?

Box Method

200

(x+6)(x+2)

x²+8x+12

300

(x+4)(x-5)

x²-x-20

400

(4x²+2x-5)(2x-4)

8x³-12x²-18x+20

500

(4x)(3x³-2x²+x+3)

12x⁴-8x³+4x²+12x

Subtraction

100

When subtracting polynomials what should you do the signs?

Turn the subtraction sign positive and change all the signs inside the parenthesis on the right side 

200

(4x-6)-(17x-10)

-13x+4

300

(3x³+10x²-4x-1) - (x³+7x²-5x-6)

2x³+3x²+x+5

400

(5x-4x²-2) - (4-7x-2x²)

-2x²+12x-6

500

(5x-3x²-2) - (-4x²+3x)

x²+2x-2