Lesson27

# Lesson27 - Lessons 27 Factoring Trinomials Perfect Square...

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1 Lessons 27 Factoring Trinomials, Perfect Square Trinomials, Difference of Squares TRINOMIALS (leading coefficient not a 1) Form: c bx ax + + 2 Always write terms in descending order! Notice: 15 6 15 10 9 6 ) 3 2 )( 5 3 ( 2 2 - - = - - + = + - x x x x x x x 2 6 x is the product of the first two terms, -15 is the product of the last two terms, - x is the sum of the outer and inner terms There are two methods that can be used to factor trinomials of the form , 2 . ax bx c + + The first method is a ‘trial-and-error’ process or ‘reversing FOIL’. The second method is called the ‘Grouping Method’ or Product/Sum Method. I will show both methods and you may choose which method works for you. I recommend the Grouping Method. Trial-and-Error Method: 1. Make your first terms have a product of 2 ax . 2. Make your last terms have a product of c . 3. Find the sum of the inner and outer terms and check if it equals bx . If not, go back to steps 1 and 2 and try a different combination, until step 3 checks.

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Lesson27 - Lessons 27 Factoring Trinomials Perfect Square...

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