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:

3x² (2x⁴)

6x⁶

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)(d² - 4d + 1)

d³ - d² -11d + 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:

4p - 12

4(p-3)

500

Factor out the GCF

18n⁴+42nm+6n

6n(3n^3+7m+1)

Factoring when a = 1

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

x² - 4x + 4

(x - 2)(x - 2)

400

Factor:

x² - x - 12

(x-4)(x+3)

500

Factor:

x² - 3x - 54

(x-9)(x+6)

Factoring when a>1

100

-5y² - 22y - 8

(-1)(5y + 2)(y + 4)

200

3x² - 3x - 60=0

(3)(x-5)(x-4)

300

-x² + 7x - 6

(-1)(x - 6)(x-1)

400

3x² -2x - 8

(3x+4)(x-2)

500

Solve by factoring:

5n² + 2n - 3

(n+1)(5n - 3)