Name: ____________________________ [Total Points = 100] Factor each expression completely using any method [4 points] Factoring Take Home Quiz #1
x2 - 25
#2
x2 + 4x – 60
#3
5x3 - 125x
#4
6x2 – 6
#5
.09a2- .0625b2
#6
2ma + 4mb + 2mc
#7
x2 + 7x - 30
#8
10z3 + 20z2 + 10z
#9
k4 - 4k -5
#10
12t8 - 75t4
#11
r2 + x 2
#12
st2 – s
#13
25a2b2 + 30ab
#14
9x8 - 16x4
#15
x3 + 7x2 + 6x
#16
2y2 + 12y – 54
#17
81m2 - 36n10
#18
r2 + x 2
#19
m3 + 6m2 - 16m
#20
x4 + 5x2 + 4
#21
81
36a4 - 121 b8
#22
x2 + 3x – 54
€ CONTINUE TO NEXT PAGE . . . #23
#24
#25
#26
[2 points] If one factor of 6x2 + x - 6 is 3x - 2, the other factor is:
1
2x + 3
2
2x - 3
3
3x + 3
4
6x + 3
[2 points] What expression represents the area of a rectangle whose length is 2x – 7
and width is x + 3? (Hint: Use area formula)
1
2x2 - x – 21
2
2x2 - x – 10
3
2x2 - x – 21
4
2x2 + x – 21
[3 points] In the equation x2 + 3x + 4 = (x + a)(x + b), b is an integer. Find all possible
values of b.
[5 points] Express x4 - 10x2 + 9 as a product of binomials:
How many factors does x4 - 10x2 + 9 have? ________