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,
is how you begin to factor. Factoring by grouping is the way to go.
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!