3.5 Notes 3.5 NotesFactoring w/ a leading Factoring w/ a leading coefficient greater than 1 coefficient greater than 1p. 78 in your book p. 78 in y..
Leading Coefficient Greater Than 1: When the leading coefficient isn't 1, multiply it by the constant term to find suitable factors for the middle term. Verification: Always multiply the factored binomials to verify the correctness of the factoring. ...
with leading coefficient equaling 1, the factors are found using factors of the last number that add up to be the middle term's coefficient. The factors are then written as (x+m)(x+n), where m*n equals the last number in the quadratic and m+n equals the middle term's coefficient....
The general form of trinomials with a leading coefficient of a is ax2+bx+cax2+bx+c. Sometimes the factor of a can be factored as you saw above; this happens when a can be factored out of all three terms. The remaining trinomial that still needs factoring will then be simpler, with ...