### About Factoring Trinomials Part 2:

When we factor a trinomial with a leading coefficient that is ≠ 1, we generally use two different techniques. We can use reverse FOIL. This method involves trial and error to find the right combination. Secondly, we can rewrite our trinomial as a four-term polynomial and use factoring by grouping.

Test Objectives

- Demonstrate a general understanding of factoring a trinomial
- Demonstrate the ability to factor a trinomial using reverse FOIL
- Demonstrate the ability to factor a trinomial using factoring by grouping

#1:

Instructions: Factor each.

a) 3a^{2} - 20a - 100

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#2:

Instructions: Factor each.

a) 15n^{2} - 95n + 100

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#3:

Instructions: Factor each.

a) 18b^{2} + 15b - 12

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#4:

Instructions: Factor each.

a) 8k^{2} - 42k + 10

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#5:

Instructions: Factor each.

a) 54x^{2} - 336xy + 72y^{2}

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Written Solutions:

#1:

Solutions:

a) (3a + 10)(a - 10)

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#2:

Solutions:

a) 5(3n - 4)(n - 5)

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#3:

Solutions:

a) 3(2b - 1)(3b + 4)

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#4:

Solutions:

a) 2(4k - 1)(k - 5)

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#5:

Solutions:

a) 6(9x - 2y)(x - 6y)