SOLUTION: Factor out the greatest common factor from the terms of the trinomial. then factor the remaining trinomial 2x^2 + 30x + 52

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Factor out the greatest common factor from the terms of the trinomial. then factor the remaining trinomial 2x^2 + 30x + 52      Log On

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

   


Question 420461: Factor out the greatest common factor from the terms of the trinomial. then factor the remaining trinomial
2x^2 + 30x + 52

Answer by MathLover1(6812) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E2+%2B+30x+%2B+52.....the greatest common factor is 2

2%28x%5E2+%2B+15x+%2B+26%29......replace 15x with 2x%2B13x

2%28x%5E2+%2B+2x%2B13x+%2B+26%29...group

2%28%28x%5E2+%2B+2x%29%2B%2813x+%2B+26%29%29

2%28x%28x+%2B+2%29%2B13%28x+%2B+2%29%29

2%28x+%2B13%29%28x+%2B+2%29