Unit 1

Add

100

(2x+3)+(x+1)

3x+4

200

(x²+2x)+(2x²−x)

3x²+x

300

(3x³−2x²+x−4)+(x³+4x²−3x+2)

4x³+2x²−2x−2

400

(2x⁴−5x³+3x²+x−1)+(x⁴+2x³−x²− 2x+4)

3x⁴−3x³+2x²−x+3

500

(6x⁵−4x⁴+3x³−2x²+x−7)+                       (−2x⁵+5x⁴−x³+4x²−3x+10)

4x⁵+x⁴+2x³+2x²−2x+3

Sub

100

(5x+4)−(2x+1)

3x+3

200

(6x−3)−(x−8)

5x+5

300

(3x²+7x−2)−(x²+4x+3)

2x²+3x−5

400

(6x⁴−3x³+2x²−5x+9)−(x⁴+2x³−4x²+6x−1)

5x⁴−5x³+6x²−11x+10

500

(3x⁵−4x⁴+6x³−x²+2x−5)−(x⁵−2x⁴+3x³−2x²+x+1)

2x⁵−2x⁴+3x³+x²+x−6

Multi

100

(x+2)(x+3)

x²+5x+6

200

(2x−1)²

4x²−4x+1  

300

(3x²+2x)(x−4)

3x³−10x²−8x

400

(x²−3x+2)(x+5)

x³+2x²−13x+10

500

(x³−2x²+4)(2x²−x+3)

2x⁵−5x⁴+5x³+2x²−4x+12

Area

100

Suppose the length of a rectangle is (x+3) and the width is (x+4) what's the area.

x²+7x+12

200

Suppose the length of a square is (2x+2) and the width is (2x+2) what's the area.

4x²+8x+4

300

Suppose the length of a rectangle is (2x+3) and the width is (x+4) what's the area.

2x²+11x+12

400

Suppose the length of a rectangle is (3x+2) and the width is (x−3) what's the area

3x²−7x−6

500

Suppose the length of a rectangle is (4x+2) and the width is (2x−4) what's the area

8x²−12x−8

Vocab

100

The part of the polynomial that doesn’t have any variables.

Constant

200

Terms that have the same variable raised to the same power.

Like Terms

300

A polynomial with just one term

Monomial

400

A polynomial with exactly two terms.

Binomial

500

A polynomial with exactly three terms.

Trinomial