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MATH 052 CHAP 5 online quiz
Choose the answer that represents the complete factorization
of the polynomial. If it is not factorable choose that
answer.
1. 3x2 a) 3(x
b) (3x
c) 3(x
d) Not
3
- 1)2
+ 1)(x - 3)
- 1) (x + 1) *
factorable
2. x2 - 5x + 6
a) (x - 3)(x - 2) *
b) (x - 6) (x + 1)
c) (x - 6)(x - 1)
d) Not factorable
3. 6x2y - 3xy2
a) 3(2x2y - xy2)
b) 3x(2xy - y2)
c) 3xy(2x - y) *
d) Not factorable
4. x2 + 4x - xy - 4y
a) (x + 4)(x - y) *
b) x(x + 4) + y(x + 4)
c) x(x + 4 + y) + 4y
d) Not factorable
5. x4 + 16
a) (x2 + 4)2
b) (x2 + 4) (x2 - 4)
c) (x2)2 + (42)2
d) Not factorable *
6.
x4 - 81
a) (x2 - 9)(x2 + 9)
b) (x - 3) (x + 3)(x2 + 9) *
c) (x - 3)2 (x + 3)2
d) Not factorable
Choose the correct solution(s) for each equation:
7. 3x2 - 7x - 20 = 0
a) (3x + 5)(x - 4)
b) {-3/5 , 4}
c) {-5/3 , 4} *
d) No solution
8. 2x2 + 2x = 0
a) 2x(x + 1)
b) {0, -1) *
c) {2, 0, -1}
d) No solution
Which equation could be used to solve each of the following:
9. Five less than the square of a number is equal to 5
times the number. Find all such numbers.
a) 5 < x2 + 5x
b) 5 - x2 = 5x
c) x2 - 5 = 5x *
d) (x - 5)2 = 5x
10.The length of a rectangle is 5 feet more than its
width. The area is 24 square feet. Find the length and
width of the rectangle. (note: the area of a rectangle
is equal to its length times its width.)
a) x + 5 = x(x + 5)- 24
b) 2x(x + 5)= 24
c) 2x + 2(x+5) = 24
d) x(x + 5)= 24 *