Factoring Review

Radicals

100

Directions: Simplify

3sqrt(32)

12sqrt(2)

200

Directions: Simplify the expressions. Exact answers only. No approximations.

6sqrt(2)-5sqrt(3)

Already in simplest form

300

Directions: Simplify the expressions. Exact answers only. No approximations.

(1+4sqrt(10))(2-sqrt(10))

-38+7sqrt(10)

400

Directions: Simplify the expressions. Exact answers only. No approximations.

sqrt(250)-sqrt(54)

5sqrt10-3sqrt6

Factoring

100

Factor:

p² - 100

(p + 10)(p - 10)

200

Factor:

x² - 32x - 144

(x-36)(x+4)

300

Factor:

5v² − 30v + 40

5(v − 2)(v − 4)

400

Factor:

3x² − 11x - 4

(3x +1)(x - 4)

More Factoring

100

Factor Completely: 

2x²+16x+30

2(x+5)(x+3)

200

Factor Completely: 

2x² - 512

2(x+ 16)(x - 16)

300

Factor Completely: 

-5t² - 20t - 20

-5 (t+2)(t+2)

400

Factor Completely: 

12x³+12x²+3x

3x(2x+1)(2x+1)

Miscellaneous

100

Directions: Simplify.

sqrt(18x^7)

3x^3sqrt(2x)

200

Write each expression as a polynomial in standard form.

5x(x - 4) - 3(x² + 6x)

2x² - 38x

300

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

400

Directions: Simplify the expressions. Exact answers only. No approximations.

(4-2sqrt(3))^2

28-16sqrt(3)

Final Jeopardy

500

Factor:

6x² y − 19xy+ 10y

y(3x-2)(2x - 5)