Factoring Review

Adding/Subtracting Polynomials

100

Add the Polynomials

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

What is 5x + 5?

200

Subtract the polynomials:

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

What is -2g + 2?

300

Add the polynomials:

(x² +3x + 5) + (-x² +6x)

What is 9x + 5?

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

What is k³ + 4k² -7k -4?

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

What is 3x²?

Factor Radicals

100

sqrt(98)

What is

7sqrt(2)

?

200

sqrt(44)

What is

2sqrt(11)

?

300

sqrt(175)

What is

5sqrt(7)

?

400

sqrt(343)

What is

7sqrt(7)

?

500

sqrt(216)

What is

6sqrt(6)

?

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

What is 6x⁶?

200

Multiply the Polynomials:

(x - 3)(x + 2)

What is x² - x - 6?

300

Multiply the Polynomials:

(2m - 1)(m + 2)

What is 2m² + 3m - 2?

400

Multiply the Polynomials:

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

What is 12n² + 13n - 4?

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

What is d³ - d² -11d + 3?

Factoring rational numbers

100

Factor:

16p⁴ + 4p³

What is 4p³(4p + 1)?

200

Factor out the GCF

5a³+2a²

What is a²(5a+2)?

300

Factor:

63 + 45b

What is 9(7 + 5b)?

400

Factor:

14a + 21a² + 21a³

What is 7a(2 + 3a + 3a²)?

500

Factor out the GCF

9x⁶ − 63x³ − 90x²

What is 9x²(x⁴ − 7x − 10)?

Factoring

100

Factor:

p² +2p -35

What is (p-5)(p+7)?

200

Factor:

z² - 4z - 21

What is (z+3)(z-7)?

300

Factor:

-5y² - 22y - 8

What is (-5y-2)(y+4)?

400

Factor:

6v² + 66v + 60  

What is 6(v + 10)(v + 1)?

500

Factor:

5v² − 30v + 40

What is 5(v − 2)(v − 4)?

More Factoring

100

Solve by factoring:

x² - 25=0

What is x=-5 and x=5?

200

Solve by factoring:

5n² - 40n = 0

What is n=0 and n=8?

300

Solve by factoring:

3x² - 3x - 60=0

What is x=-4 and x=5?

400

Solve by factoring:

-5x² + x = -4

What is x=-4/5 and x=1?

500

Solve by factoring:

30x² - 4 = 2x

What is x=2/5 and x=-1/3?