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Algebra Videos 351 videos

Piecewise Functions
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CAHSEE Math 6.2 Algebra I 299 Views


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Description:

CAHSEE Math: Algebra I Drill 6, Problem 2. Simplify the polynomial.

Language:
English Language

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

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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