If a polynomial f(x) is divided by x-k, what is the remainder?
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If p(x) is a polynomial and is divided by (x-k) and a remainder is obtained, then that remainder is p(k). If the quadratic p(x)=x^2-3x+5 gives the same remainder when divided by x+k as it does when divided by x-3k find the value of k, k is not equal to 0.
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Answer:
given : dividend = p(x)
divisor = (x-k)
then
using the Remainder theorem
Dividend = divisor × quotient + remainder
K is the remainder
hence ,
if the polynomial p (x)is divided by (x-k)then please (k) is the Remainder
hope it helps
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regards- darrendan09
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