2x^2-24x+33=0
First you try to factor it:
Multiply 2 by 33, getting 66. Now we make a column of
ways to factor 66 using two integers:
factors
1x66
2x33
3x22
6x11
Now since the sign of 66 is positive, we make
a list of the sums:
factors sums of factors
1x66 1+66=67
2x33 2+33=35
3x22 3+22=25
6x11 6+11=17
Now you try to find one that agrees in absolute value
with the middle term of
2x^2-24x+33=0
Oh oh! There aren't any! So it won't factor. So we
have to use the quadratic formula.
a=2, b=-24, c=33
Factor 2 out of the top
Divide top and bottom by 2:
Edwin
