Factoring Lesson

We know (and recently reviewed for dividing polynomials) that when you multiply the two outside factors, you find the area inside a box.

​We're going to be given the area inside and will find the factors that multiply to make it!

​The difference from division is that when factoring, it always works!!

​ALWAYS look for a GCF first!

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GCF: Greatest Common Factor

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​If you can divide a common factor out, it makes the rest of the problem much easier to do!

Factor it out! Then what's left goes in our area model box!

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​Let's do this one together!

​What is the GCF?

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​(Don't forget to write this one down)

​Now that we've factored out the 3:

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​Let's use the area model for the quadratic in the parentheses!

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​Remember to add that 3 back in front!

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​It doesn't matter the order of the factors, just be careful with your signs staying with the right numbers!

1. Always look for a GCF and factor it out if it exists

2. ​Then, put your first term in the first box and the last term in the last box (because we know with factoring we won't have remainders!!)

3. ​Find the diagonal product and list its factors

4. ​Choose the factor pair that adds to the middle term and multiplies to our DP

5. ​Find each row and column's GCF

6. ​Write the full answer out!

1. Always look for a GCF and factor it out if it exists

2. ​Then, put your first term in the first box and the last term in the last box (because we know with factoring we won't have remainders!!)

3. ​Find the diagonal product and list its factors

4. ​Choose the factor pair that adds to the middle term and multiplies to our DP

5. ​Find each row and column's GCF

6. ​Write the full answer out!

1. Always look for a GCF and factor it out if it exists

2. ​Then, put your first term in the first box and the last term in the last box (because we know with factoring we won't have remainders!!)

3. ​Find the diagonal product and list its factors

4. ​Choose the factor pair that adds to the middle term and multiplies to our DP

5. ​Find each row and column's GCF

6. ​Write the full answer out!