# 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) 15m^{5}, 135m^{9}

A) 15m^{4}

B)2025m^{4}

C)135m^{5}

D)15m^{5}

**Exercises 23-34**

Complete the factoring .

17) 16x^{7}y^{9} = 2x^{5}y^{7}( )

A) 8xy^{2}

B) 32x^{3}y^{3}

C) 8x^{2}y^{2}

D) 32x^{2}y^{2}

**Exercises 35-58**

Factor out the greatest common factor.

18) 64x^{9}y^{9} + 80x^{6}y^{6} + 64x^{4}y^{3}

A) No common factor (except 1)

B)16(4x^{9}y^{9} + 5x^{6}y^{6} + 4x^{4}y^{3})

C) 16x^{4}y^{3}(4x^{5}y6 + 5x^{2}y^{3} + 4)

D)16x^{4}(4x^{5}y^{9} + 5x^{2}y6 + 4y^{3})

**Exercises 67-86**

Factor by grouping .

19) 10a^{3} - 15a^{2}b - 4ab^{2} + 6b^{3}

A) (5a^{2} - 2b^{2})(2a - 3b)

B) (5a^{2} + 2b^{2})(2a + 3b)

C) (5a^{2} - 2b)(2a -3b)

D) (10a^{2} -2b^{2})(a - 3b)

**Exercises 11-22**

Complete the factoring .

20) x^{2} - 3x - 40 = (x + 5)( )

A) -x-8

B)x-8

C)8-x

D) x+8

**Exercises 23-40**

Factor completely .

21) x^{2} + 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) x^{2} + 3xy - 28y^{2}

A)(x-7y)(x+4y)

B) (x-y)(x+4y)

C) (x-7y)(x+y)

D) (x+7y)(x-4y)

**Exercises 1-6**

Factor by grouping .

23) 15x^{2} - 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) 15x^{2} + 22x + 8

A) (3x-2)(5x-4)

B)Prime

C) (3x+2)(5x+4)

D) (15x+2)(x+4)