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Airida [17]
3 years ago
11

Factor completely x2 + 20x − 36.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

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,

x^2+18x+2x-36 is how you begin to factor.  Factoring by grouping is the way to go.

(x^2+18x)+(2x-36)

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!

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