# Unit 6 Factoring - Math 1 Foundations: Question Preview (ID: 31309)

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**What is the prime factorization of 42?**

a) 1*2*3*4

b) 2*2*3*4

c) 2*3*3*7

d) 2*3*7

**Factor 14x^3 + 7x^2 - 28x**

a) 7x (3x -4)

b) 7 (2x^3 +x^2 -4x)

c) 4x (x^2 +7x -1)

d) 7x (2x^2 +x -4)

**Factor the following: 169 - y^2**

a) (13 - y)(13 + y)

b) (13 - y)(13 - y)

c) (13 +y)(13 + y)

d) (12 - y)(12 + y)

**When factoring, what do you always look for first?**

a) Difference of Squares

b) GCF

c) 4 terms

d) Factoring By Grouping

**Factor the following by grouping: 10x^2 - 5x +2x - 1**

a) (5x +1)(x - 1)

b) (5x +1)(2x - 1)

c) (x +1)(x - 1)

d) (10x +1)(2x + 1)

**If a polynomial is in the form a^2+b^2, what is automatically the answer?**

a) Infinitely Many Solutions

b) 1

c) Prime

d) 0

**Factor the following using Difference of Squares: 16x^4 - 81y^6.**

a) (4x^2 + 9y^3)(4x^2 + 9y^3)

b) (2x^2 - 3y^3)(2x^2 + 3y^3)

c) (x^2 - y^3)(x^2 + y^3)

d) (4x^2 - 9y^3)(4x^2 + 9y^3)

**Factor the following by grouping: 3pz-9p+5z-15.**

a) (3p +5)(z-3)

b) (9p +5)(z+3)

c) (9p +5z)(5z-3)

d) (p - 5)(z+3)

**Find the GCF of 15x^3 - 35x^2 + 60x^4**

a) 35x^2

b) 15x^2

c) 15x

d) 5x^2

**Factor the following using Difference of Squares: 4x^2 - 49.**

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

b) (2x - 7)(2x + 7)

c) (2x - 7)(2x - 7)

d) (4x + 7)(4x +7)

**What is the GCF between 20 and 35?**

a) 1

b) 4

c) 5

d) 10

**Find the GCF of 24x^3-16x^2+8x.**

a) 8x

b) 8x^2

c) 16

d) 24x

**What is the GCF between 30 and 60?**

a) 1

b) 2

c) 15

d) 30

**What is the prime factorization of 40?**

a) 2*2*2*5

b) 2*5

c) 2*2*2*2*2*7

d) 2*2*2*2*5

**What is the prime factorization of 120?**

a) 2*2*2*3

b) 2*2*2*3*5

c) 2*2*2*5

d) 1*2*0

**Factor the following: 16d^10 - f^8**

a) (8d^5 - f^4)(8d^5 + f^4)

b) (4d^5 - f^4)(4d^5 + f^4)

c) (8d^5 - f^4)(8d^5 - f^4)

d) (2d^5 + f^2)(2d^5 - f^2)

**Find the GCF between 42 and 63.**

a) 7

b) 21

c) 6

d) 42

**Find the GCF for the following: 25x^4 - 5x^3 - 2x^2**

a) 2x

b) 2x^2

c) x^2

d) 5x

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