Question

How to factor this:

6x² + 7x - 5

Please give an explanation on how you did it

Answer 1

what is 6 divisable by? 2,3 and 6,1

first try 6,1 because I cud see those adding up to 7 and 5 pretty easily.

(6x+...)(x+...)
Now ask yourself what is 5 divisable by because there is a minus sign in front of the 5. you know one of the signs will be negative. 5,-1 or -5,1.

plug those into the parentheses:
(6x+5)(x-1)= 6x^2 -x-5


now try 2,3
(2x+5) (3x-1)= 6x^2 +(3x×5)+(2x×-1) -5= 6x^2+(15x-2x)-5 NOT THE RIGHT ANSWR
TRY SWITCHING THE 5 AND -1 AROUND

try
(2x-1)(3x+5) = (6x^2 +(2x×5)+(3x×-1)-5 = the RIGHT ANSWER!!!!

Answer 2

x= (2x-1) (3x+5) that's the answer