1300_section4o3

1300_section4o3 - Section 4.3 - Factoring Polynomials Some...

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1 Section 4.3 - Factoring Polynomials Some trinomials that can be factored do not look like the special trinomials from the previous sections. Factor trinomials, written ax 2 + 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 a is negative, also factor out –1 along with the GCF. 2. Check that the square root of b 2 – 4 ac is a whole number (that is b 2 – 4 ac is a perfect square) . If b 2 – 4 ac is negative, then we cannot factor the trinomial. If the square root of b 2 – 4 ac is not a whole number, then the factored form of ax 2 + bx + c will 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. ax
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1300_section4o3 - Section 4.3 - Factoring Polynomials Some...

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