Question 59738
x^2 + x - 30.
For factorising this expression, we need to find two integers whose product is -30 and whose sum is 1.

On observation we find the integers to be 6, -5

So x^2 + x - 30 
= x^2 + 6x - 5x - 30  [splitting the middle term]
= x(x + 6) - 5(x + 6) [removing the common factor]
= (x - 5) (x + 6)

Thus x^2 + x - 30 = (x-5)(x+6).

Good Luck!!!