7.factoring part 2 Investigation by grouping

7.factoring part 2 Investigation by grouping - I...

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Investigation: Tougher Factoring Part 1: Using the guess and check method. Step 1: Simplify (2x + 3)(3x – 5) So far, we have only factored problems that were either special, or the leading coefficient has been 1 (x 2 + bx + c). Today, our leading coefficient will be greater than one (ax 2 + bx + c) Notice how there is not a direct relationship between b and c in the above problem. Step 2: Guess and check the factoring. This way just takes persistence, so keep on trying until it works! Use pencil, so you don’t have to cross out over and over! Example: Factor 2x 2 + 11x + 12 You know that the expression will factor into (___x __ ___)(___x __ ____) What kind of signs must go in the parentheses? Now look at the “a.” What are the factors of it? Those must go in the front of our parentheses. Now look at the “c”. What are the factors of it? Here is where the guess and check comes in. Try a pair of factors. Then check to see if the “inners” and “outers” will add together to get b.
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