﻿ GreeneMath.com - Factoring Trinomials with a Leading Coefficient of 1 Test
Factoring Trinomials I Test

When we factor a trinomial with a leading coefficient of 1, we reverse the FOIL process. Write two sets of parentheses and start with the first spots: if we see x2, we know that is produced by x • x. We then find the last positions from two integers whose sum is b and whose product is c.

Test Objectives:

•Demonstrate a general understanding of factoring a trinomial

•Demonstrate the ability to find two integers whose sum is b and whose product is c

•Demonstrate the ability to factor a trinomial into the product of two binomials

Factoring Trinomials with a Leading Coefficient of 1 Test:

#1:

Instructions: Factor each.

a) v2 + 11v + 30

b) x2 - 3x - 4

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#2:

Instructions: Factor each.

a) x2 - 4x - 28

b) x2 + 15x + 44

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#3:

Instructions: Factor each.

a) 2x2 + 16x + 24

b) 3m2 - 18m - 81

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#4:

Instructions: Factor each.

a) 2x2 + 14xy - 36y2

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#5:

Instructions: Factor each.

a) 6x2 + 36xy + 30y2

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Written Solutions:

#1:

Solution:

a) (v + 5)(v + 6)

b) (x - 4)(x + 1)

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#2:

Solution:

a) prime

b) (x + 4)(x + 11)

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#3:

Solution:

a) 2(x + 6)(x + 2)

b) 3(m + 3)(m - 9)

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#4:

Solution:

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

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#5:

Solution:

a) 6(x + 5y)(x + y)

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