Square Roots and Factoring

Square Roots

100

√25

What is 5

200

√81

What is 9

300

√121

What is 11

400

√225

What is 15

500

√324

What is 18

Simplifying Square Roots

100

√75

What is 5√3

200

√99

What is 3√11

300

√48

What is 4√3

400

15√12

What is 30√3

500

√220

What is 2√55

GCF Factoring

100

Determine the GCF: 3x², 12x

What is 3x? 

200

Determine the GCF: 4x³, 10x²

What is 2x²?

300

Determine the GCF: 2x⁵, 9x⁴

What is x⁴?

400

Write in factored form: 14n²+10n

What is 2n(7n +5)?

500

Write in factored form: 4x⁴+16x³-8x²

What is 4x²(x² + 4x - 2)?

Review

100

Factor into two binomials: 2x²+7x+3

What is (2x+1)(x+3)?

200

Factor into two binomials: 5n²+26n+5

What is (5n+1)(n+5)?

300

Factor into two binomials: 3x² - 10x + 7 

What is (3x-7)(x-1)?

400

Factor into two binomials: 7x²-36x+5

What is (7x-1)(x-5)?

500

Factor completely: 2x² - 12x + 10

What is  2(x - 1)(x - 5)?

Misc.

100

Simplify.  x³(x⁵)

What is x⁸?

200

Simplify. (5^-1x³y²)⁰

What is 1?

300

Simplify. √(45p² )

What is 3p√5?

400

Simplify. √(175ab²c⁴)

What is 5bc²√(7a)?

500

When factoring what is the first thing I should look for? 

What is the GCF?