SOLUTION: Solve the equation by the method of factoring 5x^2+22x+8=0

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Solve the equation by the method of factoring 5x^2+22x+8=0       Log On


   

Question 1088307: Solve the equation by the method of factoring
5x^2+22x+8=0

Found 2 solutions by Fombitz, natolino_2017:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2%2B22x%2B8=0
%28x%2B4%29%285x%2B2%29=0
Take it from there to find the roots.

Answer by natolino_2017(77) About Me  (Show Source):
You can put this solution on YOUR website!
5 is a prime number so the polynomial can be written as:
(5x+a)(x+b) = 5x^2+22x+8
so a + 5b = 22
ab= 8
by simple inspection, a=2 and b=4.
answer: (5x+2)(x+4)
@natolino_