Answer:
Step-by-step explanation:
To do this, identify a, b, and c of the quadratic.
a = 1, b = 20, c = |-36|
Find a*c. That's 36. Now find the factors of 36 and the 2 factors that can combine to give you b, which is 20, are the ones we want.
36: 1, 36
2, 18
3, 12
4, 9
6, 6
The ones that combine to give you 20 are 2, 18. Both positive. Therefore,
[tex]x^2+18x+2x-36[/tex] is how you begin to factor. Factoring by grouping is the way to go.
[tex](x^2+18x)+(2x-36)[/tex]
Factor out what you can from each set of parenthesis:
x(x + 18) + 2(x + 18)
What's common now is what's inside the parenthesis, so that gets factored out:
(x + 18)(x + 2)
That's factored completely!
