Unit 7 Polynomials Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

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

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

(x-1)(x+2)

x²+x-2

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(4d²-2d + 1)

4d³+10d²-5d+3

Factoring GCF/ Special Products

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

2x² - 8x

2x(x+4)

400

Factor:

4p² - 256

4(p²-64)

500

Factor out the GCF

18n²+42n+6n

6n(3n+7m+1)

Factoring Trinomials

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

y² - 2y - 8

(y-4)(y+2)

400

Factor:

x² - 4x - 12

(x-6)(x+2)

500

Factor:

3x²+6x-144

3(x+8)(x-6)

More Factoring Trinomials

100

Factor:

x²-13x+40

(x-5)(x-8)

200

Factor:

x²-x-56

(x+7)(x-8)

300

Factor:

x²+4x-12

(x-2)(x+6)

400

Factor:

x²-11x+10

(x-10)(x-1)

500

Factor:

x²+16x+64

(x+8)(x+8) OR (x+8)²