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Algebra 2 Help...

R

Rip the Jacker

Diamond Member
Can someone verify this? http://img114.imageshack.us/img114/1756/hw8cg.jpg

The problems I'm on:

Use synthetic division and the given factor to completely factor each polynomial function

y = x^3 + 3x^2 - 13x - 15; (x+5)

y = x^3 - 3x^2 -10x +24; (x-2)

Divide.

(6x^3 +2x^2 - 11x +12) / (3x+4)

(x^4 + 2x^3 + x -3) / (x-1)

(2x^4 + 3x^3 - 4x^2 + x + 1) / (2x-1)

(x^5 -1) / (x-1)

(x^4 - 3x^2 -10) / (x-2)

(3x^3 - 2x^2 +2x +1) / (x+1/3)

Last problem...

A box is to be mailed. The volume in cubic inches of the box can be expressed as the product of its three dimensions: V(x) = x^3 -16x^2 +79x -120. The length is x-8. Find linear expressions for the other dimensions. Assume that the width is greater than the height.
 
If you get 0 at the end, it is a factor. If you don't, then it isn't.

Yes, that is my handwriting 😛

Synthetic Division Pic

questions? 🙂

It can be further simplied to a product of linear factors (x+4)(x+2)(x-3) = x³ + 3x² -10x -24 in which case -4, -2, and 3 are all critical values (polynomial = 0)
 
Just plug in the numbers and if it ==0 then its a factor

x^3 + 3x^2 -10x -24 == 0

plug in for x
-4
3
-6
-2
 
Well, synthetic only works with a linear divisor (no x^2 or higher in the divisor), but it is much easier IMO. In other words, use it whenever possible.
 
Ok. I think I'm alright with synthetic division now. How about long division?

(x^2 - 13x -48) / (x+3)

2x^2 + x 0 7 / (x-5)

(x^3 + 5x^2 -3x - 1) / (x-1)

(3x^3 -x^2 -7x + 6) / (x+2)

How would I do the first problem?

x+3|x^2-13x-48
 
Originally posted by: Goosemaster
dude.....I psoted this in your other thread......you might try not abandoning it😉
Click to expand...

Yeah, thank you for the first 4 problems. I've completed half the sheet now, and I'm on long division.

My other thread was turned into a ... "what math did you take in X year" thread..
 
I usually use long division. So many things can go wrong when using synthetic division like place holder, remembering it's not the negative and adding and it's just confusing.
 
Originally posted by: Dissipate
Originally posted by: JustAnAverageGuy
Synthetic division FTW?
Click to expand...

Yeppers. Good ole synthetic division. We re-visited that briefly in my abstract algebra class. W00t!
Click to expand...


don't you do polynomial division in grade 9-10, remainder theorem, factor theorem?
 
Originally posted by: coomar
Originally posted by: Dissipate
Originally posted by: JustAnAverageGuy
Synthetic division FTW?
Click to expand...

Yeppers. Good ole synthetic division. We re-visited that briefly in my abstract algebra class. W00t!
Click to expand...


don't you do polynomial division in grade 9-10, remainder theorem, factor theorem?
Click to expand...

Yep. But this time we do it over other fields and we do things like reducibility tests.
 
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