Add/ Subtract, & Multiply Polynomials (H)

Factoring Trinomials

100

y² + 5y - 84

(y + 12) ( y - 7)

200

x² + 9x + 20

(x + 5) (x + 4)

300

x² + 3x - 10

(x +5) (x - 2)

400

6x² + 23x + 20

(3x + 4) (2x + 5)

500

5p² + 34p + 24

(5p + 4) (p + 6)

Multiplying Binomials

100

(2m - 4) (m + 7)

2m² + 10m -28

200

(p + 6) (p - 6)

p² - 36

300

(5 + 2x) (x + 3)

2x² + 11x + 15

400

(3a - 8) (2a - 5)

6a² -31a + 40

500

(c + 4)²

c² + 8c  + 16

Adding

100

 (2x² - 4) + (x² + 3x - 3)

3x²+3x-7

200

 2x² + 0x - 4 + 3x² + 3x + 2

5x²+ 3x-2

300

(2x² - 4) + (x² + 3x - 3)

3x² + 3x - 7

400

2x² + 0x - 4 + x² + 3x - 3

3x² + 3x - 7

500

(5x – 1) + (10x² + 7x)

10x² +12x - 1

Subtracting

100

 (2x² - 1) - (5x² + 2x - 3)

-3x² - 2x +2

200

(2a² - 4) - (a² + 3a + 3)

a² - 3a - 7

300

(2x² - 4) - (4x² + 3x - 3)

-2x² - 3x - 1

400

(2x² - 4) - (x²+ 3x - 3)

x² - 3x - 1

500

(3x² - 1) - (2x² + 7x -8)

x² - 7x + 7

Mixed Review

100

Combining like terms

What is adding and subtracting polynomials?

200

x² - 3x - 1 + 5x² + 3x - 7

6x² - 8

300

(x² - 3x - 1 ) - (5x² + 9x - 7)

-4x² - 12x +6

400

(-6x² - 3x - 1 ) + (8x² + 9x - 7)

2x² + 6x - 8

500

(-6x² - 7x - 1 ) - (-5x² + 9x - 7)

-x² - 16x + 6

Homework

100

3p(np - z)

3np² - 3pz

200

(x - y)(x² + 2xy + y²)

x³ + x²y - xy² - y³

300

4(a² + 5a -6) -3(2a³ + 4a -5)

-3a³+ 4a² + 8a - 9

400

5xy(2x-y) + 6y²(x² + 6)

6x²y² + 10x²y - 5xy² +36y²

500

(x - y) (x + y) (2x + y)

2x³ +x²y - 2xy² - y³