Radicals & Factoring

Simplifying Radicals & Radical Operations

100

2√50 - 3√32

-2√2

200

⁵√32

2

300

³√16 - ³√54

-³√2

400

√28x³yz⁸

2xz⁴√7xy

500

³√162ab³c5

3bc ³√6ac²

Factoring Differences of Squares

100

49x²-16

(7x-4)(7x+4)

200

196h²-1

(14h-1)(14h+1)

300

9y⁴-100

(3y²+10)(3y²-10)

400

121s⁴+25j²

(11s²+5j)(11s²+5j)

500

225p⁶-144y⁴

(15p³-12y²)(15p³+12y²)

Factoring GCF

100

4x³-2x²+6x

2x(2x²-x+3)

200

12y³-15y²+6y

3y(4y²-5y+2)

300

-72x²+24xy+28xy²

-24xy(3x-1-2y)

400

8x³y²+24x⁴y-20x²y²

4x²y(2xy+6x²-5y)

500

6x²y+14xy²-42xy-2x²y²

2xy(3x+7y-21)

Factoring Trinomials

100

k²+3k-40

(k+8)(k-5) 

200

2w²-3w-9

(2w+3)(w-3)

300

3x²-7x-6

(3x+2)(x-3)

400

6x²+7x-49

(3x-7)(2x+7)

500

4x²-16x+7

(2x-1)(2x-7)

Dividing Polynomials by Binomials

100

(x²-10x+21) / (x-7)

(x-3)

200

(x²+5x+6) / (x+2)

(x+3)

300

(2x²-5x-12) / (x-4)

(2x+3)

400

(8x²+22x+15) / (4x+5)

(2x+3)

500

(30x²+132x+14) / (5x+12)

(6x+12)