Factorise x (squared) + 7x - 30

X^2+7x-30

what we do is we find what 2 number multiply to get - 30 and add to get 7

factor 30

30=2 times 3 times 5

we know that is has to be negative eventually so one is negative and one is positivie so we do2 factors and add

2 times 5=10

10 and - 3

add

10-3=7

checks

10 times - 3=-30

so we put those in

(x-3) (x+10)

factored