SOLUTION: 10. Using FACTORING, how do I complete this exercise? 2x^2 + 40x + 200 Thank you for your help.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 10. Using FACTORING, how do I complete this exercise? 2x^2 + 40x + 200 Thank you for your help.      Log On


   

Question 156566: 10. Using FACTORING, how do I complete this exercise?


2x^2 + 40x + 200
Thank you for your help.
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
The coefficients have a 2 in common. Take it out first.
2(x^2+20x+100)
Now, what two numbers add to 20 and multiply to 100? 10+10=20; 10*10=100.
Therefore our factorization becomes
2(x+10)^2