Question slip :
Divide xl-582-4x by x+3. Find the remainder by Remainder Theorem. Verify by finding the remainder
using Synthetic Division.
Solution :
By Remainder Theorem
By Synthetic Division
Dividend polynomial p(x)=-
Dividend polynomial =
Divisor =
Index form =
… take x=
Coefficient form =
PC
Divisor Polynomial =
1
remainder
1
remainder =
Conclusion: The remainders by Remainder Theorem and by Synthetic Division are the same. Hence,
Remainder Theorem is verified.
Learning outcome :
(1) Students comprehend the various methods of solving an example.
Answer:
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