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Factoring Trinomials Algebra IB Mr. Agnew March 19, 2003

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Objective Factor by removing the GCF from a polynomialFactor by removing the GCF from a polynomial Completely factor trinomialsCompletely factor trinomials

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Recall Process for Factoring… 1.Look for a GCF. If there is a GCF, pull it outside of the parentheses. 2.Determine if you can factor what remains. 3.Multiply coefficient of x 2 and constant (Quadrant 2). 4.Number in middle term (Quadrant 3). 5.Find two numbers that multiply to give number in Q3 and add to give number in Q4. 6.Create your two fractions. 7.Write binomials.

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Factor the Following... 2x 2 - 7x + 6 GCF? NO 12-7 -4-3 Make Fraction Bars 2 2 -4 -3 Reduce 1 2 -2 -3 ANSWER: (x – 2)(2x – 3)

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Factor the Following... 6x 2 + 25x + 9 GCF? NO 5425 27 27 2 Make Fraction Bars 6 6 27 2 Reduce 2 3 9 1 ANSWER: (2x + 9)(3x + 1)

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Standard Form The standard form of any quadratic trinomial is a=3 b=-4

Standard Form The standard form of any quadratic trinomial is a=3 b=-4

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