SOLUTION: Factor each polynomial completely w^2 - 18w + 81

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Factor each polynomial completely w^2 - 18w + 81       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 7843: Factor each polynomial completely
w^2 - 18w + 81

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Factor: w%5E2+-+18w+%2B+81
You need to find two integers whose product is 81 and whose sum is -18.
The first integers that come to mind are (-9)& (-9), why? because:
(-9)(-9) = +81 and (-9) + (-9) = -18
So, w%5E2+-+18w+%2B+81+=+%28w+-+9%29%28w+-+9%29 or %28w+-+9%29%5E2