Question

How to Factor 8m^2+30m+7

Answer 1

By using the quadratic formula, and setting a=8, b=30, and c=7, you end up with:
[-30 +/- SqurRt( 30^2-4(8)(7) )/ 2(8)]

After simplifying that equation, you end up with (-30 +/- 26)/(16)

When solving for the equation where 26 is positive, the result for m is m= -0.25

When solving for when 26 is negative, the result is m= -3.5

since m^2 has a coefficient of 8, you would multiply m= -0.25 by 4 to get 4m= -1. Then you would multiply the other m by 2, to get 2m= -7

setting those two equations for m equal to zero would leave you with (4m+1)(2m+7).


This could have also been done without the quadratic formula if you guessed right on which coefficients for m to use

Answer 2

(2m+7)(4m+1)
I have the way to factor when a not equal 0. you take a*c. So in this equation I get m^2+30m+56. Then factor this equation. (m+28)(m+2). Then take those number divided by a. a = 8 in this case, so (m+7/2)(m+1/4) . Can't put the denominator in the parentheses, so put ythe number in the bottom with m. So
(2m+7)(4m+1).
I'm not good at explaining. But this is my way to factor the equation with a not equal 0