SOLUTION: explain how you would utilize the remainder theorom to determine the remainder obtained when the polynomial f(x) is divided by x-k

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Question 1037883: explain how you would utilize the remainder theorom to determine the remainder obtained when the polynomial f(x) is divided by x-k
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Fill the squares in the first line below with the
coefficients of the terms of f(k) in descending 
order from largest exponent to smallest exponent,
including 0 exponent for the constant term.
Be sure to place a 0 for the coefficient of any 
missing exponents, from n-1 down to 0.
 
Complete this synthetic division:

k | ↏ ↏ ↏ ↏ ... ↏ ↏
  |   ↏ ↏ ↏ ... ↏ ↏
    ↏ ↏ ↏ ↏ ... ↏ R

The number R, the remainder, at the bottom right 
of this synthetic division will be f(k).

Edwin
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
explain how you would utilize the remainder theorem to determine the remainder obtained when the polynomial f(x) is divided by x-k
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See the lesson Divisibility of polynomial f(x) by binomial x-a in this site.


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