Question

factor:
x^2-14x+33

Answer 1

so to factor x^2-14x+33
we need to focus on the middle term 14 and the last term 33
so on the last term 33 we find all multiplication combinations that produce 33
1 x 33 = 33
11 x 3 = 33

then for the middle term 14 we look at the list of combinations (on the left side) use addition. so which 2 numbers produce 14 ?

Answer 2

so we know that 11 x 3 = 33 . we got the last term
now what's 11+3 = ?

Answer 3

I got (x-3)(x-11)