Synthetic division Yielding no zeros

[mathmarauder]

So im checking to find zeros using synthetic division. I am not getting any zeros and it seems unlikely that none of these divisions would yeild a zero.

Y=x^3-4x^2+5x-2

so I end up with pos/neg 1, pos/neg 2 to potentially use for synthetic division.

x-1 1 -4 5 2 with this i didnt get a zero nor with x+1
l______
x-2 1 -4 5 2 same deal no zeros. if the problem is to find all zeros....
l_______
more then likely there should be at least one. Can someone show me the zeros.

 

[stapel]

Y=x^3-4x^2+5x-2...
x-1 1 -4 5 2 with this i didnt get a zero nor with x+1
l______

I'm sorry, but I am not familiar with this form of synthetic division...? Does your text really require that you put the factor in front, rather than the zero to be tested...? :shock:

Meanwhile, the polynomial, as currently posted, has a constant term of "-2" but your synthetic division uses a final value of "+2". Which is correct?

Can someone show me the zeros.

What did you see when you looked at the graph?

Thank you!

Eliz.

 

[mathmarauder]

Re: Synthetic division Yielding no zeros for y=x^3-4x^2+5x-2

I dont know what my text requires.
But I came up with pos/neg 1, and pos/neg 2.
So i believe you have to plug in each one..one of them being +2 one being -2 and +1 and -1.

I assume when you say graph you mean the synthetic division work?
x-2 1 -4 5 2
bring down the one
-2 12 -34
1 -6 17 -32
is one example of what i got if thats what you mean
and -32 is not zero...nor are the answers when i plug in -1,1 and 2

 

[stapel]

I dont know what my text requires....
i believe you have to plug in each one

It's pretty bad when your book doesn't explain how to do what it's giving you questions on! :shock:

Since it is not reasonably feasible here to attempt to replace the missing section(s) in your book, please study some online lessons to learn how to use synthetic division.

I assume when you say graph you mean the synthetic division work?

Actually, "graphing" means "drawing the picture corresponding to the equation." To learn how to graph!, you'll want to start from the bottom up: linear equations, quadratic equations, and then finally polynomial equations. It's not that hard; you'll catch on quick! :wink:

Once you know how to graph the given function, you will need to know the relationship between x-intercepts and zeroes to see how to use the graph to confirm the results of your synthetic division.

Have fun!

Eliz.

 

[mathmarauder]

lol I know how to graph. I just wanted to know if there were any zeros because i didnt come up with any.
Anyhows...thank you for the help.

 

[mmm4444bot]

Hello Marauder of Math:

Elizabeth asked you about your sign error on the constant term.

You never answered that question.

Perhaps, if you consider her question, then you will discover why you are not finding either of the two zeros for the polynomial in your original post.

Cheers,

~ Mark :|

 

[fasteddie65]

Your work must be incorrect. I found that x = 1 and x = 2 are the zeros of the polynomial. Try again, using 1 and 2.

 

[Denis]

Fastone is correct, Marauder; try again, but tie your shoe laces; you're apparently
going too fast and tripping over them ! :idea:

 

[mathmarauder]

hmm sorry about the delay.
-2 was part of the orignal equation.
Why I had +2? who knows, I either typed it wrong
or added or subtracted incorrectly.

 

[fasteddie65]

By the way, one more point: Every cubic has to have at least one real zero. The others could be real or complex.