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ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.
CAHSEE Math 2.2 Algebra I 237 Views
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Description:
CAHSEE Math Algebra I Drill 2, Problem 2. Simplify the expression.
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra I / Polynomials and word problems
Transcript
- 00:03
Your doctor told us you couldn’t handle too much excitement, so here’s an unshmoopy question for you…
- 00:08
Simplify the following expression:
- 00:11
x squared plus 4x minus 32 over x squared minus 2x minus 8.
- 00:16
And here are the potential answers…
- 00:22
So… what is this question asking?
Full Transcript
- 00:24
Can we simplify something that’s… um… not so simple?
- 00:28
Looking at the form of these polynomials, the word ‘quadratic’ should be screaming at us.
- 00:34
And we have to factor the crap out of this one.
- 00:36
So let’s do it. From the top… literally… we know that 8 times 4 is 32
- 00:42
and one has to be negative because the 32 is negative…
- 00:45
...but the 4 in the middle is positive… so it has to be the quantity (x – 4) times (x + 8).
- 00:56
On the bottom, we have 2 and 4 as natural factors of 8, and 8 is negative…
- 01:03
and so is the 2. So we have:
- 01:05
(x -4) times (x+2)
- 01:15
We can then just cross out the two (x – 4)’s… and we are left with x plus 8 over x plus 2.
- 01:24
The answer is A.
- 01:25
As in, “Eh.."
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