Polynomials Review

Adding/Subtracting Polynomials

100

Add the Polynomials

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

5x + 5

200

Subtract the polynomials:

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

-2g + 2

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

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

Greatest Common Factor

100

Factor:

16p⁴ + 4p³

4p³(4p + 1)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

63 + 45b

9(7 + 5b)

400

Factor:

14a + 21a² + 21a³

7a(2 + 3a + 3a²)

500

Factor out the GCF

9x⁶ − 63x³ − 90x²

9x²(x⁴ − 7x − 10)

Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

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

400

Factor:

6v² + 66v + 60  

6(v + 10)(v + 1)  

500

Factor:

5v² − 30v + 40

5(v − 2)(v − 4)

Solve by Factoring

100

Solve by factoring:

x² - 25=0

x=-5 and x=5

200

Solve by factoring:

3x² - 3x - 60=0

x=-4 and x=5

300

Solve by factoring:

-5x² + x = -4

x=-4/5 and x=1

400

Solve by factoring:

30x² - 4 = 2x

x=2/5 and x=-1/3

500

Solve by factoring:

5n² - 40n = 0

n=0 and n=8