Question

Divide the following polynomials. Your answer should be in the following format:


`\bf{(f(x))/(d(x))=Q(x)+(R(x))/(d(x))}`
f(x) = x² - 2x + 3 and d(x) = x - 1
Only enter the R(x) term.

Answer 1

R(x) = 2.

Explanation:

To locate the r(x) or remainder term you can use synthetic division.

(View the attached image to see how I found the answer.)

Since the remainder is 2, and q(x) is equal to 1x-1 ---> (x-1), this can be written as (x-1)+ 2/(x-1).

----> The basic idea is that after applying synthetic division, you can conclude that the remainder is 2. Hence, the r(x) should be 2.

Hope this helps <3.

Answer 2

DIVIDING POLYNOMIALS

`__________________________`

Refer to the attachment for the answer and solution.

The R(x) term is the remainder, the remainder is 2.