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Rewrite rational expressions Videos 5 videos
Multiplying rational expressions is as easy as adding the exponents and simplifying. Ta da!
It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.
SAT Math 4.3 Algebra and Functions 217 Views
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Description:
SAT Math 4.3 Algebra and Functions
Transcript
- 00:02
And here's your math-y shmoop du jour...
- 00:05
If 3x squared + 2x all over 3x + 2 = 1, then x is equal to which of the following?
- 00:12
And here are the potential answers...
- 00:16
It's asking us to find what x equals to make this equation true.
- 00:20
This looks like a pretty messy equation...so we gotta simplify things first.
Full Transcript
- 00:24
The numerator looks like it can be factored into x times 3x + 2.
- 00:29
Hey look... 3x + 2 is in the numerator and denominator...
- 00:34
...which means we can cancel those two out for all x's as long as 3x + 2 isn't zero.
- 00:40
3x + 2 is zero when x equals -2/3.
- 00:44
...so we have to remember that -2/3 is not a valid solution.
- 00:48
We're left with x equals one... ...and it looks like the answer is (C).
- 00:59
Ah, the truth has been achieved. We are going to sleep well tonight.
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