Beginning & Intermediate Algedra Review

0.4(5.1) The Greatest Common Factor By Grouping

Exercises 1-4
Find the greatest common factor the numbers.
15) 21,24,30

A) 21
B) 1
C) 6
D) 3

Exercises 7-16
Find the greatest common factor the terms.
16) 15m⁵, 135m⁹

A) 15m⁴
B)2025m⁴
C)135m⁵
D)15m⁵

Exercises 23-34
Complete the factoring.
17) 16x⁷y⁹ = 2x⁵y⁷( )

A) 8xy²
B) 32x³y³
C) 8x²y²
D) 32x²y²

Exercises 35-58
Factor out the greatest common factor.
18) 64x⁹y⁹ + 80x⁶y⁶ + 64x⁴y³

A) No common factor (except 1)
B)16(4x⁹y⁹ + 5x⁶y⁶ + 4x⁴y³)
C) 16x⁴y³(4x⁵y6 + 5x²y³ + 4)
D)16x⁴(4x⁵y⁹ + 5x²y6 + 4y³)

Exercises 67-86
Factor by grouping.
19) 10a³ - 15a²b - 4ab² + 6b³

A) (5a² - 2b²)(2a - 3b)
B) (5a² + 2b²)(2a + 3b)
C) (5a² - 2b)(2a -3b)
D) (10a² -2b²)(a - 3b)

0.5(5.2) Factoring Trinomials

Exercises 11-22
Complete the factoring.
20) x² - 3x - 40 = (x + 5)( )

A) -x-8
B)x-8
C)8-x
D) x+8

Exercises 23-40
Factor completely.
21) x² + 4x - 21

A) (x-7)(x+1)
B) (x+7)(x-3)
C) Prime
D) (x-7)(x+3)

Exercises 43-60
Factor completely.
22) x² + 3xy - 28y²

A)(x-7y)(x+4y)
B) (x-y)(x+4y)
C) (x-7y)(x+y)
D) (x+7y)(x-4y)

0.6(5.3) More on Factoring Trinomials

Exercises 1-6
Factor by grouping.
23) 15x² - 25x + 18x - 30

A) (5x+6)(3x-5)
B) (5x-6)(3x+5)
C) (15x-6)(x+5)
D) (15x+6)(x-5)

Exercises 21-58
Factor as completely as possible. If unfactorable,  indicate that the polynomial is prime.
24) 15x² + 22x + 8

A) (3x-2)(5x-4)
B)Prime
C) (3x+2)(5x+4)
D) (15x+2)(x+4)