nested form of cubic 4x^3 - 4x^2. + 3x - 3

[yohanson77]

Hello all,
I'm getting thrown right in the deep end with these. Once shown I normally get it, please help:

The nested form of the cubic expression:

4x^3 - 4x^2. + 3x - 3.

Can someone explain what the 2. means? is it as simple as 2.0?

Thanks for your time

 

[pka]

My guess it that is simply a typo or a missprint.

\(\displaystyle \L
4x^3 - 4x^2 + 3x - 3 = 4x^2 (x - 1) + 3(x - 1)\)

 

[yohanson77]

That is the same answer that I came up with, but it was marked wrong.

They told me the answer is:

((4x - 4)x + 3)x - 3

How?

Any suggestions?

 

[pka]

That is the same answer that I came up with, but it was marked wrong. They told me the answer is: ((4x - 4)x + 3)x - 3

I have no clue how that is.
It may be some obscure notation used in your text material or by the instructor of the course you are following. I suggest that you review your notes carefully.

 

[yohanson77]

We'll gang up on the lecturer tomorrow, I'm not the only one puzzled on this one.

Thanks pka, you're a star!

 

[Count Iblis]

That is the same answer that I came up with, but it was marked wrong.

They told me the answer is:

((4x - 4)x + 3)x - 3

How?

Any suggestions?

This is a so-called nested form in which linear functions (ax+b) are repeatedly substituted for the coefficient of x.