# 1300_section4o3 - Math 1300 Section 4.3 Notes Factoring...

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Math 1300 Section 4.3 Notes 1 Factoring PolynomialsSome trinomials that can be factored do not look like the special trinomials from the previous sections. Factor trinomials, written ax2+ bx+ c, by doing the following rules: 1.Factor out the GCF of all three terms. Use the resulting trinomial for the rest of the steps. If ais negative, also factor out –1 along with the GCF. 2.Check that the square root of b2– 4acis a whole number (that is b2– 4acis a perfect square) . If b2– 4acis negative, then we cannot factor the trinomial. If the square root of b2– 4acis not a whole number, then the factored form of ax2+ bxcwill have fractions or square root signs in it. We will not be factoring these in this section. 3.Look at the sign of the constant term. a.If the second sign (the one before the constant term) is a + sign, then both signs in the factored form are whatever the first sign is. ax2+ bx+ c= ( __ + __ )( __ + __ ) or ax2bx+ c= ( __ – __ )( __ – __ ) b.If the second sign is a – sign, then the signs in the factored form are different. ax2+ bxc= ( __ + __ )( __ – __ ) or ax2+ bxc= ( __ + __ )( __ – __ ) 4.Find two numbers that multiply together to give ac+