We have to factorise 6x²+5x-6
Solution
We will solve using the splitting the middle term
Multiply the coefficient of the first term by the constant 6 x -6 = -36
Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
The polynomial splitting the middle term using the two factors, -9 and 4 whose sum is -5 and product is -36
6x²+(9-4)x-6=0
6x²+9x-4x-6=0
3x(2x+3)-2(2x+3)=0
(2x+3)(3x-2)=0
Answer
(2x+3)(3x-2) are factors of 6x²+5x-6
