Factoring Polynomials

```Problem #1
Factor the following trinomial:
𝑥 2 + 14𝑥 + 40
Problem #2
Factor the following trinomial:
𝑥 2 + 11𝑥 + 24
Problem #3
Factor the following trinomial:
𝑥 2 − 10𝑥𝑦 − 75𝑦 2
(𝑥 + 4)(𝑥 + 10)
(𝑥 + 3)(𝑥 + 8)
(𝑥 + 5𝑦)(𝑥 − 15𝑦)
Problem #4
Factor the following trinomial:
𝑥 2 + 9𝑥 − 36
Problem #5
Factor the following trinomial:
2𝑥 2 − 6𝑥 − 56
Problem
#6
Factor the following trinomial:
𝑥 2 − 10𝑥𝑦 − 75𝑦 2
\$55
(𝑥 + 12)(𝑥 − 3)
2(𝑥 − 7)(𝑥 + 4)
(𝑥 + 5𝑦)(𝑥 − 15𝑦)
Problem #7
Factor the following trinomial:
𝑥 2 − 14𝑥 + 33
Problem #8
Factor the following trinomial:
𝑥 2 + 16𝑥 + 64
Problem #9
Factor the following trinomial:
𝑥 2 + 3𝑥𝑦 − 18𝑦 2
(𝑥 − 11)(𝑥 − 3)
(𝑦 + 8)2
(𝑥 + 9𝑦)(𝑥 + 10𝑦)
Problem #10
Factor the following trinomial:
𝑥 2 − 2𝑥 − 99
Problem #11
Factor the following trinomial:
𝑥 2 − 12𝑥𝑦 + 35𝑦 2
Problem #12
Factor the following trinomial:
3𝑥 2 − 12𝑥 + 12
(𝑥 − 11)(𝑥 + 9)
(𝑥 − 5𝑦)(𝑥 − 7𝑦)
3(𝑛 − 2)2
Problem #13
Factor the following trinomial:
𝑥 2 + 𝑥 − 56
Problem #14
Factor the following trinomial:
𝑥 2 − 3𝑥𝑦 − 28𝑦 2
Problem #15
Factor the following trinomial:
5(𝑦 2 + 25𝑦 − 30)
(𝑥 − 7)(𝑥 + 8)
(𝑥 + 4𝑦)(𝑥 − 7𝑦)
5(𝑦 − 1)(𝑦 + 6)
Problem #16
Factor the following trinomial:
6𝑥 2 − 42 + 60
Problem #17
Factor the following trinomial:
𝑥 2 + 5𝑥𝑦 − 84𝑦 2
Problem
#18
Factor the following trinomial:
𝑥 2 − 4𝑥 − 32
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6(𝑥 − 2)(𝑥 + 5)
(𝑥 − 7𝑦)(𝑥 + 12𝑦)
(𝑦 − 8)(𝑦 + 4)
Problem #19
Factor the following trinomial:
2𝑥 2 − 14𝑥 − 32
Problem #20
Factor the following trinomial:
𝑥 2 − 8𝑥𝑦 − 33𝑦 2
Problem #21
Factor the following trinomial:
𝑥 2 − 13𝑥 − 30
2(𝑥 − 12)(𝑥 + 5)
𝑥 + 3𝑦)(𝑥 − 11𝑦)
(𝑥 − 15)(𝑥 + 2)
Problem #22
Factor the following trinomial:
4𝑥 2 + 36𝑥 + 56
Problem #23
Factor the following trinomial:
𝑥 2 − 16𝑥𝑦 + 48𝑦 2
Problem #24
Factor the following trinomial:
𝑥 2 − 13𝑥 + 42