Directions: Answer these questions pertaining to factoring by grouping. In the factoring questions, only completely factored answers are deemed as correct.
1.
Factor completely: 3a3 + 12a2 + a + 4
2.
Factor completely: 2x3 + 6x2 - 4x - 12
3.
Factor completely: 3x2 + xy2 - 3xy - y3
4.
Factor completely: m2x2 + m2b - 2nx2 - 2nb
Choose:
5.
Factor completely: 3n3 + 2n2 - 3n - 2
6.
When a2(a + b)4 - b2(a + b)4 is expressed as
(a + b)m(a - b), what is the value of m?
7.
a) Which of the following expressions is equivalent to 5x3 - 6x2y - 45xy2 + 54y3 ?
b) Which of the following expressions is NOT a factor of
5x3 - 6x2y - 45xy2 + 54y3 ? Choose:
8.
Factor by grouping: 10x3 - 2x2y2 - 5xy + y3
9.
Factor by grouping: 2ax2 + 3axy - 2nxy - 3ny2
10.
Factor completely: x5 - 3x3 - 5x2 + 15
11.
Which expressions are equivalent to 243x4 - 216x2 + 48 ? (Check all that apply, and hit SUBMIT!)
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