Question

Factorise the following:
`6sqrt(3)x^2 - 19x + 5sqrt(3)`

Answer 1

`6sqrt(3)x^2 - 19x + 5sqrt(3)`
= `6sqrt(3)x^2 - 10x  - 9x + 5sqrt(3)`
= `2x (3sqrt(3)x - 5) - sqrt(3) (3sqrt(3)x - 5)`
= `(3sqrt(3) x - 5) (2x - sqrt(3))`.