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Efficient Trinomial Factoring Guide

Learn how to factor trinomials of the form ax^2 + bx + c step by step with this reverse FOIL method. Find GCF, factor pairs, plug into binomials, and check using FOIL for accuracy. Practice factoring different polynomials and improve your skills!

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Efficient Trinomial Factoring Guide

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  1. Section 6.2 factoring trinomials

  2. Factoring Trinomial of the form ax2 + bx + c • This is the REVERSE of FOIL • 1. Divide out a GCF if possible. • 2. List the factor pairs of ax2. • 3. List the factor pairs of c. • 4. Select one pair from each list and plug into 2 binomials. • 5. Check the “OI” of FOIL to match the middle term, bx • 6. Repeat steps 4 and 5 as needed.

  3. Factor each polynomial • 1. x2 – x – 42 • 2. x3 + 4x2y - 21xy2 • 3. 6x2 - 19x + 10

  4. Factor some more! • 4. 4m2 + 15m + 6 • 5. 3r2 + 8rv + 5v2 • 6. 5x2 + 26x - 24

  5. Factor… maybe use u-sub? • 7. 12r6 - 19r3 + 5 • 8. 2(m – 3)2 + 7(m – 3) + 6 • 9. 8(x + 1)2 + 6(x + 1) – 9

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