Question

help please z^5-3z^2-20/z-2

Answer 1

So what do they want you to do?

Answer 2

Help with what

Answer 3

@jazzyfa30

Answer 4

simplify

Answer 5

How would you like the rational function to be simplified? As the ratio of two polynomials?

Answer 6

Ok so if you use synthetic division it is pretty easy...just remember that any terms that are not there must be represented by 0's

Answer 7

The term simplified is vague with out any context, in different situations different expressions might be seen as simpler as one or another.

Answer 8

ummmmm ok and it dont matter @jack117

Answer 9

You want it in the form $$\frac{Q(z)}{P(z)}$$ Where Q, and P are polynomials with integer coeiffients?

Answer 10

I assume the original expression is \[\frac{z^5-3z^2-20}{z-2}\]

Answer 11

Most symbolic calculators can do this sort of thing, with out much trouble so in general there isn't really need to post for help here if you have a problem like this, you could try somthing free like wolframalpha.

Answer 12

Do you know how to do synthetic division @jazzyfa30

Answer 13

yes paynesdad

Answer 14

??????/////

Answer 15

Ok so what would be your line of coefficients?

Answer 16

\[Z^5-3z^2-20/(z-2)\]
multiply by the inverse of 1/(z-2)
\[=z^5-3z^2-20z+40\]

Answer 17

@jazzyfa30

Answer 18

@NickChio6 not quite

Answer 19

If the numerator is the first polynomial, then\[\frac{z^5-3z^2-20}{z-2}\]is a division problem that can be done by long division or synthetic division.

Answer 20

ok im starting to get confused

Answer 21

\[=z(z^4-3z-20)+40\]

Answer 22

Ok WIth synthetic division you list all of the coefficients of the thing you are dividing... right?

Answer 23

@NickChio6 no

Answer 24

idk

Answer 25

For example ...\[\frac{x^3-x^2-x-15}{x-3}\]

Answer 26

well it depends on if it is all divisible by z-2 or just -20 is like it is written.

Answer 27

You would do list the coefficientse of the numerator... 1 -1 -1 -15

Answer 28

Does that look familiar at all?

Answer 29

@NickChio6 It is divisible by z-2 you just need to do the synthetic division

Answer 30

Look at what I asked her above... as a clarification of the problem.

Answer 31

@jazzyfa30

Answer 32

nope

Answer 33

So do you know how to do synthetic division or not?

Answer 34

What course is this for?

Answer 35

algebra 2

Answer 36

So you should have learned or should be learning synthetic division.

Answer 37

nvm i got it thanks anyway

Answer 38

How did you do the problem?

Answer 39

ohh i just guessed

Answer 40

:-( That is not going to help you learn how to do this stuff.