Unit 1 Polynomials

Adding

100

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

3x-2

200

(x² - 3x + 2) + (2x²+ 5x - 1 ) 

3x² + 2x + 1. 

300

(5x³- 2x² + x) + (-2x³ + 3x² - 4x)

3x³+x²-3x

400

(y² + 3y - 5) + (2y² - y + 1)

3y²+2y-4

500

(2a² - 5a + 1) + (-a² + 2a - 3)

a²-3a-2

Subtracting

100

(2x² + 3x - 1) - (x² - 2x + 5)

x²+5x-6

200

(y² + 3y - 2) - (2y²-y + 1)

-y²+4y-3

 

300

(5x³ - 2x + 7) - (x³ + 4x² - 3)

4x³-4x²-2x+10

400

(3a² - 5a + 1) - (a² + 2a - 4)

2a²-7a+5

500

(4x² - 2y + 3) - (x² + 3y - 1) 

3x²-5y+4

Distribution

100

2x(x + 3)

2x²+6x

200

-3y(y² - 2y + 1)

 -3y³ + 6y²- 3y

300

(x + 2)(x - 4)

x² - 2x - 8

400

(4x+8)(5x-7)

20x²+12x-56

500

(7x²-9x+5)(6x+3)

42x³-33x²+3x+15

Multi-Step

100

(3x²−4x+2)+(2x²+5x−3)

5x²+x−1

200

(4x−3)−(2x²−x+1)

−2x²+5x−4

300

2(x²−3x+4)−3(x−2)

2x²−9x+14

400

(x²−2x+3)⋅(x+4).

x³+2x²−5x+12

500

(2x+4)+(3x−2)

5x+2