These in the next few lessons, we finish off the ideas of factoring and begin to look at the greatest common factor.

Today your child learns how to separate a quadratic trinomial into its factors. DoodleOne explains it very nicely, so I will let her do it on the worksheet.

If your child has trouble, just work through a few with her and show her that the process is kind of like working out ciphers using a couple of clues. You are given two numbers, one that represents a times b, and the other that represents either a plus b or a minus b or b minus a. Then you have to work out values for a and b are and that tells you what the factors of the quadratic trinomial. It all sounds much more complicated than it really is.

Answers:

1. The idea here is to think of possible factors for 6 (like 2*3 or 6*1) and then decide if either of those possiblilities can be combined to make 5. Since 2+3 is 5, then you get your factors for the equation.

2. So here you think of ways to factor 12 (like 12*1, 2*6, or 3*4) and then figure out which set combines to make 7. 3+4 is 7, so the values for a and b are 3 and 4.

3. Here you have to find factors for 6, keeping in mind that they mst combine to a negative 5. Following the same process as the last 2 problems, you decide that -2*-3 are the best factors because they add to -5 and multiply to yield a +6.

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