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I need help factoring trinomials and binomials. Algebra II?
40a^2 - 32a
x^2 - 9x - 22
(These are actual questions I need to answer but I'm looking toward learning how to do them rather than just getting the answers so show your work please)
Thanks :)
1 Answer
- ?Lv 77 years agoFavorite Answer
40a^2 - 32a <<< most work is done in your head ... what number divides into 40 and 32?? (called largest (or greatest) common factor) 8 and a is in both so it is also a common factor so the GCF = 8a
now divide 8a into 40 a^2 --- 5a ...divide 8a into -32a --- -4
so ... = 8a(5a - 4) <<< answer
x^2 - 9x - 22 <<< what are factors of -22 that add to -9??? -2 X 11 adds to +9 so that does not work ... +2 X -11 = -22 and +2 + -11 = -9 so these will work
= (x + 2)(x - 11) <<< answer
Most of this factoring work is done in your head .... Learn the "rules" or patterns of factoring ... binomials have one set of rules, trinomials a different set. Learn how to recognize them and their different rules.
