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# Algebra: LCM

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MTH209 Week Two Quiz

1 The prime factorization of the integer 30 is:
A) 2 * 3 * 5
B) 23 * 5
C) 3 * 52
D) 15 * 2
E) None of the above.
2 The greatest common factor of the integers 8, 16, 20 is:
A) 2
B) 4
C) 8
D) 16
E) None of the above
3 The greatest common factor of the two monomials 30x6 yz9, 75x2 yz7 is:
A) 15x2 yz7
B) 15x2 y7
C) 15x7 yz2
D) 15x7 z7
E) None of the above
4

Factor out the GCF in the expression -2x5 - 6x4 + 14x3:

A) 2x3 ( -x2 + 3x + 7)
B) 2x3 ( -x2 - 3x + 7)
C) 2x3 ( -x2 + 3x - 7)
D) x3 ( -2x2 - 6x + 14)
E) None of the above.
5 Determine whether the trinomial below is a difference of squares, a perfect square trinomial, just factorable, or nonfactorable:
x2 + 5x - 6
A) difference of squares
B) perfect square
C) just factorable
D) nonfactorable
E) None of the above (what else is there?)
6
Factoring the trinomial of question 5 above yields:

A) (x - 2)(x - 3)

B) (x + 2)(x + 3)
C) (x + 6)(x - 1)

D) (x - 6)(x + 1)
E) The trinomial of question 5 cannot be factored.
7 Factor the perfect square trinomial x2 - 14x + 49
A) (x - 14)2
B) (x + 7)2
C) (x - 9)2
D) (x - 7)2
E) None of the above
8
Factor the perfect square trinomial 4x2 + 12x + 9

A) (4x + 6)2
B) (2x + 9)2
C) (2x - 3)2
D) (2x + 3)2
E) None of the above.
9
Factor the following polynomial or indicate if it is prime

w2 + 16
A) (w + 4) (w + 4)
B) (w - 4) (w - 4)
C) (w + 4) (w - 4)
D) It is prime
E) None of the above.
10 We know that the area of a triangle is (b*h)/2, b being its base, h being its height. If a triangular sail has an area of z2 + 6z + 8 square meters and a height of z + 2 meters, an expression that will give the length of the sail's base is:

A) 2z + 8
B) (z2 + 6z + 8) (z + 2)
C) z + 4
D) z + 8
E) None of the above