Question

Had a question about dividing polynomials and this is the specific question....

15x^4-10x^3+11
divided by
-15x^4

Answer 1

I divided everything in the numerator by -15x^4

so it should look like this:

15x^4 / -15x^4

-10x^3 / -15x^4

11/-15x^4

Answer 2

Yes, you are almost there

Answer 3

So you got -1+2/(3x)-11/(15x^4)

Answer 4

so the 15x^4 / -15x^4 cancel out. right?

the -10x^3 / -15x^4 is what's getting me....

I get 10x^3 / 15x^4 = 3/4x^-1 = 1/ 3/4x = 1 1/3x?

11/-15x^4 = -11/15x^-3 which turns into... ... \[a^-n = \left(\begin{matrix}1 \\ a^n\end{matrix}\right)\]

Answer 5

Why woule -10x^3/(-15x^4) give you 3/(4x^(-1))?

Answer 6

10/15=2/3 and x^3/x^4=1/x=x^(-1)

Answer 7

so 10x^3/(15x^4)=2/(3x)=(2/3)x^(-1)