SOLUTION: Use grouping to factor the polynomial. x^3 + ax + 3a + 3x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use grouping to factor the polynomial. x^3 + ax + 3a + 3x^2      Log On


   



Question 76483: Use grouping to factor the polynomial.
x^3 + ax + 3a + 3x^2

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E3+%2B+ax+%2B+3a+%2B+3x%5E2+
factor an x out of the first pair and a 3 out of the second pair
+x%28x%5E2%2Ba%29+%2B3%28a%2Bx%5E2%29+
x^2+a is the same thing as a+x^2 ... rewrite it as such
+x%28x%5E2%2Ba%29+%2B3%28x%5E2%2Ba%29+
factor out x^2+a
+%28x%5E2%2Ba%29%28x%2B3%29+
Done