SOLUTION: Factor completely. Remember to look first for a common factor and to check by multiplying. If a polynomial is prime, state this. 20x^2 + 100x + 125

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completely. Remember to look first for a common factor and to check by multiplying. If a polynomial is prime, state this. 20x^2 + 100x + 125       Log On


   



Question 622865: Factor completely. Remember to look first for a common factor and to check by multiplying. If a polynomial is prime, state this.
20x^2 + 100x + 125

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

20x^2 + 100x + 125
5(4x^2 + 20x + 25)
rewrite the middle term as:
5(4x^2 + 10x + 10x + 25)
group:
5(4x^2 + 10x) + (10x + 25)
5(2x(2x + 5) + 5(2x + 5))
5(2x + 5)(2x + 5)
5(2x+5)^2