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Factoring Polynomials Videos 14 videos
There are a variety of methods for factoring trinomials, Complete the square! Use the quadratic formula! Or be a genius and do it in your brain!
Factoring polynomials allows us to group things—and everything's always better in groups. Well... almost everything.
Factoring polynomials by grouping is easy. You just combine like terms and then factor them out. Ta da!
CAHSEE Math 6.2 Algebra I 290 Views
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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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