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Question

Find the quotient and remainder on dividing p(x) by g(x) in the following case, without actual division.
p(x)=x3+4x26x+2;g(x)=x3

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Solution

To get the required remainder, equate g(x) to 0 and substitute that value of x in p(x).

x3=0x=3

Thus, p(3) will be the required remainder.

p(3)=33+4(3)26(3)+2
=27+3618+2
=47

Hence value of the required remainder is 47.


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