SOLUTION: Use grouping to factor each polynomial completely. {{{x^3 + a*x + 3*a + 3*x^2}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use grouping to factor each polynomial completely. {{{x^3 + a*x + 3*a + 3*x^2}}}      Log On


   



Question 148879This question is from textbook Elementary and Intermediate Algebra
: Use grouping to factor each polynomial completely.
x%5E3+%2B+a%2Ax+%2B+3%2Aa+%2B+3%2Ax%5E2
This question is from textbook Elementary and Intermediate Algebra

Answer by epylar(1) About Me  (Show Source):
You can put this solution on YOUR website!
Note that x%5E3+=+x%5E2%2Ax.
From the original expression:
The expressions x%5E3 and 3%2Ax%5E2 have a term x%5E2 which can be factored out. The expressions a%2Ax and 3%2Aa have a term a which can be factored out.
So we have:
x%5E2%2Ax+%2B+a%2Ax+%2B+a%2A3+%2B+x%5E2%2A3 =
x%5E2%2Ax+%2B+x%5E2%2A3+%2B+a%2Ax+%2B+a%2A3 =
x%5E2%2A%28x%2B3%29+%2B+a%2A%28x%2B3%29 =
%28x%5E2+%2B+a%29+%2A+%28x+%2B+3%29 (answer)