# 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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