Algebra Tri 3 Review

GCF

100

GCF of 12 and 30.

6

200

36x² and  9x³

9x²

300

54x³ and 48x.

6x

400

42y_{3  and} 14y²

7y²

500

45x²y³ and 18xy³

9xy³

Factor 1

100

45x-15

15(3x-1)

200

42y³ + 14y²

7y²(6y+2)

300

54x³-18x

18x(3x²-1)

400

a³ + 3a² + 8a + 24

(a+3)(a²+8)

500

x² + 12x + 35

(x+7)(x+5)

Factor 2

100

x² - 23x + 22.

(x-22)(x-1)

200

6x² - 11x + 4.

(2x-1)(3x-4)

300

5a² - 3a - 2

(5a+2)(a-1)

400

8x²+10x-12

2(4x-3)(x+2)

500

64x²+80x+25

(8x+5)²

Solve

100

(x - 2)² = 64

x= 10 & -6

200

3x²=27

x = 3 & -3

300

x² - 7x - 8 = 0

x= 8 & x =-1

400

x² - 12 = -4x

x = -8 & x= 4

500

4x² = 14x + 8

x = -1/2  x= 4

Multiply & simplify

100

(√10) ∙ (√14)

2√35

200

√2(5 + 3√6)

5√2 + 2√3 

300

(2√3 − √5)(√10 + 4√6)

-2√30+19√2

400

(3√2+5)(2√2-4√2)

-12-10√2

500

(5√3-4√2)(4√3+2√(2)

44-6√6