Question

Is it possible to factor `y=6x^2+17x+12`? If so, what are the factors?

Answer 1

`y=(2x+3)(3x+4)`

Explanation:

Given quadratic polynomial:

`6x^2+17x+12`

`=6x^2+9x+8x+12`

`=3x(2x+3)+4(2x+3)`

`=(2x+3)(3x+4)`

`\therefore y=(2x+3)(3x+4)`