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:

3x(2x - 5)

6x² - 15x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

(4n-1)²

16n² -8n+1

400

Multiply the Polynomials:

(2x+5)³

=8x³+60x²+150x+125

500

Multiply the Polynomials:

(3x-2y)³

27x³-54x²y+36xy²-8y³

Common Factors/ Special Products

100

Factor by looking for a common factor:

30x-42

6(5x-7)

200

Factor by looking for a common factor:

5a³+2a²

a²(5a+2)

300

Factor:

x² - 81

(x + 9)(x - 9)

400

Factor:

p² - 100

(p + 10)(p - 10)

500

Factor by looking for a common factor:

18n⁴+42np+6n

6n(3n³+7p+1)

Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

n² - 15n - 34

(n - 17)(n + 2)

400

Factor:

x² + 5x - 24

(x + 8)(x - 3)

500

Factor:

5y² - 22y + 8

(5y - 2)(y - 4)

Factoring

100

Factor completely

8x³-27

(2x-3)(4x²+6x+9)

200

Factor completely

125b³+216

(5b+6)(25b²-30b+36)

300

Factoring Completely.

3x² - 3x - 60 =0

3(x+4)(x-5)

400

Solve by factoring:

4x² - 16 - 12x

4(x - 4 )(x +1)

500

Solve by factoring:

25x² - 5x - 20

5(5x+4)(x-1)