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# Factoring Trinomials

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A process for factoring trinomials

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### Factoring Trinomials

1. 1. Trinomial Factoring An organized approach to factoring 2 nd degree trinomials
2. 2. Factoring Trinomials <ul><li>Use this algorithm (procedure) to take a lot of the guesswork out of factoring trinomials. </li></ul><ul><li>To get the most out of this presentation, use pencil and paper and work through the instructions slowly and carefully. </li></ul><ul><li>Keep in mind that this will not do the factoring for you. But it does give you a standard routine to use so that you can focus on the numbers. </li></ul>
3. 3. Step 1 <ul><li>Multiply the leading coefficient and the constant term </li></ul>
4. 4. Step 2 <ul><li>Find the two factors of 24 that add to the coefficient of the linear term </li></ul>
5. 5. Step 3 <ul><li>Re-write the original trinomial and replace 10 x with 6 x + 4 x . </li></ul>
6. 6. Step 4 <ul><li>Group the first and last pairs of terms </li></ul>
7. 7. Step 5 <ul><li>Factor out the GCF of each pair of terms </li></ul>
8. 8. Step 6 <ul><li>Factor out the common binomial </li></ul>
9. 9. Step 7 <ul><li>Therefore </li></ul>
10. 10. Try it. You’ll like it! That’s all folks!