Factoring Review

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(4xy+3x+10)+(7xy-2x+10)

11xy+x+20

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the Polynomials:

(x²-4x-10)+(3x²+3x+1)

4x²-x-9

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the following:

(x-10)-(3x-10)

-2x

200

Subtract the polynomials:

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

-2g + 2

300

Subtract the following:

(4x²-10x+1)-(-4x²+4x+3)

8x²-14x-2

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

(-4x²y-10x²+9x+1)-(10x²-3x+6)

-4x²y-20x²+12x-5

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

GCF

100

Factor:

63 + 45b

9(7 + 5b)

200

Factor out GCF

16p⁴+4p³

4p³(4p+1)

300

Factor:

14a + 21a² + 21a³

7a(2 + 3a + 3a²)

400

Factor:

6v³ + 66v² + 60  

6(v³+11v²+10)

500

Factor out the GCF

9x⁶ − 63x³ − 90x²

9x²(x⁴ − 7x − 10)

Solving Equations

100

Solve by factoring:

(x+5)(x-5)=0

x=-5 and x=5

200

Solve by factoring:

(x+4)(x-5)=0

x=-4 and x=5

300

Solve the following: 

(-4x-5)(x-1)=0

x=-5/4 and x=1

400

Solve the following:

x²-36=0

x=6 and x=-6

500

Solve the following

5n² - 40n = 0

n=0 and n=8