# Find the remainder when (x-3)^200 – (x-2)^100 is divided by x^2 -5x+6?

##r(x) = -2x+5##

Don't use plagiarized sources. Get Your Custom Essay on
Find the remainder when (x-3)^200 – (x-2)^100 is divided by x^2 -5x+6?
Just from \$13/Page

Calling

##P(x) = (x-3)^200 – (x-2)^100## and
##p(x) =x^2 -5x+6 = (x-2)(x-3) ##

we have

##P(x) = p(x)Q(x)+r(x)## in which

##Q(x)## is the quocient polynomial and
##r(x) = a x + b## is the remainder

Then we have

##P(2) = 1 = 2 a + b## and
##P(3) = -1 = 3 a + b##

Solving for ##a,b## we have ##a = -2, b= 5## so

##r(x) = -2x+5##

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.