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The X-box FactorFactoring Trinomials
X-Box
PRODUCT
SUM
X-BOX factoring
• This is a guaranteed method for factoring quadratic equations – no guessing necessary!
• Background Knowledge needed:• Dividing a polynomial by a monomial
using the box method (we did this last lesson)
Factor the X-Box WayExample: factor 862 xx
(1)(8)=
6
8
2 42x
8
2x
4x
x
x 2
4
Answer: (x + 2) (x + 4)
Factor the X-Box Way
(1)(8)=
6
8
2 4
product of theFirst and LastCoefficient
The middle term
2x
8
2x
4x
x
x 2
4
First Term
Last Term
Side of your X
Side of your X
16102 xx
122 xx
1872 xx
24112 xx
232 cc
48132 nn
1582 aa
Homework
• Worksheet: F:\2nd semester\Algebra 1\chapter 9\13.5 (2).pdf