2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
Make all of the units equal.
1 gal = 4 quarts = 8 pints
1 quart = 2 pints
18 pt - 5 pt
13 pints or
1 gal 2 qt 1 pt
<span>t+3/2 = 1/2 // - 1/2
t+3/2-(1/2) = 0
t+3/2-1/2 = 0
t+1 = 0 // - 1
t = -1</span>
12 2 +16 2 = D2
D2= 144+256
D2= 400
D2= 400
