8.4 Factoring Trinomials.notebook
March 22, 2012
8.4 Factoring Trinomials ­ 1st option
1.
4x2 + 16x + 15
Feb 7­8:31 PM
2.
2
3x ­ 2x ­ 8
Feb 7­8:38 PM
1
8.4 Factoring Trinomials.notebook
3.
March 22, 2012
2
9x ­ 15x + 4
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4.
2
5x ­ 14x + 8
Feb 7­8:38 PM
2
8.4 Factoring Trinomials.notebook
March 22, 2012
Now that the 'a' (coefficient of x2) is not a 1, you have to look at factors of the first term and factors of the last term that when placed correctly will give you the middle terms after distributing with the two parentheses. You take the possible factors and just start trying them until you find the match that works.
Feb 11­8:29 AM
8.4 Factoring Trinomials ­ 2nd option
1.
4x2 + 16x + 15
Feb 7­8:31 PM
3
8.4 Factoring Trinomials.notebook
2.
March 22, 2012
2
3x ­ 2x ­ 8
Feb 7­8:38 PM
3.
2
9x ­ 15x + 4
Because there are different signs in the two parentheses, it means I need to factor out ­4 instead of 4 to make the signs the same.
Feb 7­8:38 PM
4
8.4 Factoring Trinomials.notebook
4.
March 22, 2012
2
5x ­ 14x + 8
Feb 7­8:38 PM
The second option involves taking the coefficient of the first term and multiplying it by the constant (3rd term) to get the number that we will break down into factors. Find factors of the new number (result of multiplication) that will have a sum equal to the middle term. Rewrite the middle term as two terms based on the factors. After that, factor by grouping where you split the expression in half and work with each half before putting it together.
Mar 22­4:32 PM
5
8.4 Factoring Trinomials.notebook
March 22, 2012
HW 8.4 p552
#1­12
Feb 7­8:38 PM
6