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Playlist CAHSEE Math Test Prep: Algebra I 30 videos
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Description:
CAHSEE Math: Algebra I Drill 6, Problem 2. Simplify the polynomial.
Transcript
- 00:03
Here’s your shmoop du jour…
- 00:05
Simplify the polynomial 9x cubed minus 6x squared plus 3x minus 1…
- 00:10
minus… 4x squared minus 2x plus 1… minus… 3x minus 2.
- 00:17
And here are the potential answers...
- 00:23
The problem is testing our ability to apply a negative to a quantity
Full Transcript
- 00:27
so we can rewrite the whole problem to just get rid of the parentheses altogether.
- 00:32
So we get 9x cubed minus 6x squared plus 3x minus 1 minus 4x
- 00:37
squared plus 2x minus 1 minus 3x plus 2.
- 00:41
Note here and here and here how the negatives got flipped…
- 00:46
And now we can just combine terms.
- 00:48
There’s only one cube so leave that alone… and we can rewrite everything as…
- 00:52
…9x cubed minus 10x squared plus 2x… and that’s it.
- 00:56
Our answer is D. As in, "Done."
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