# Algebra: LCM

The table below contains ten questions. Please read through the set of possible answers and determine the best answer to each question. In the yellow answer column of the quiz, type the letter (A, B, C, D, or E) that corresponds to the answer you've chosen. Each question has only one answer. Place only one letter into each answer box. Answer boxes containing more than one letter will be marked as incorrect. (In case the yellow answer column does not appear yellow on your display, the answer column is located between the question numbers and the actual quiz questions.)

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

#### Solution Summary

Finding prime factorization and least common multiple of several numbers.