SOLUTION: Explain, in complete sentences, whether or not the expression x2 + 24x + 144 fits one of the special patterns. If so, which one? Explain how the polynomial is factored. Provi

Algebra ->  Linear-equations -> SOLUTION: Explain, in complete sentences, whether or not the expression x2 + 24x + 144 fits one of the special patterns. If so, which one? Explain how the polynomial is factored. Provi      Log On


   



Question 636032: Explain, in complete sentences, whether or not the expression x2 + 24x + 144 fits one of the special patterns. If so, which one?
Explain how the polynomial is factored.
Provide the factors.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
If the following can be factored...
x%5E2+%2B+24x+%2B+144+=+0
What 2 numbers have a product of 144 and sum of 24???
F First terms
O Outside terms highlight%28n%5B2%5Dx%29
I Inside terms + highlight%28n%5B1%5Dx%29x = 24x
L Last terms highlight%28144%29

another:
x%5E2+%2B+6x+%2B+9+=+0+=%28x+%2B+n%5B1%5D%29%28x%2B+n%5B2%5D%29+
What 2 numbers have a product of 9 and sum of 6???
F First terms
O Outside terms highlight%28n%5B2%5Dx%29
I Inside terms + highlight%28n%5B1%5Dx%29 = 6x
L Last terms highlight%289%29