Question

factorise 6x^2 - 11x - 10​

Answer 1

Answer:

Let write down the possible pairs:

1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, 6 and 10.

In each pair, one of them must be negative. To get m+n = -11, 4 and -15 is the only pair.

So we have

6x2 -11x -10 = 6x2 +4x -15x -10 = 2x(3x + 2) - 5(3x + 2) = (2x - 5)(3x + 2).

Answer 2

6x²-11x-10

6x²-11x-106x²- 15x + 4x - 10

3x( 2x - 5 ) + 2 ( 2x - 5)

(3x + 2 ) ( 2x - 5 ) .