Question 91367
Hi,<br />

<i>(I've corrected the maths in your question)</i><br />

Unfortunately, factoring quadratics is something that comes with practice. If you do lots, you will eventually just be able to see the answer. If you have a quadratic {{{x^2+bx+c}}} and you want to factor it, then you are looking for 2 numbers p, and q that multiply to c, and add up to b.<br />

In this example we need p and q to multiply to -6, and add up to 5. p=6, and q=-1 seem like a good choice. If you expand {{{(x+6)(x-1)}}} you will in fact see that is the correct choice.<br />

Hopefully you can continue from there.<br />

Kev