divide 2x^4 - 9x^3 + 5x^2 + 3x - 8 by x^2 - 4x + 1 and verify the division algorithm .
Answers
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Answer:
he division algorithm is an algorithm in which given 2 integers NN and DD, it computes their quotient QQ and remainder RR, where 0 \leq R < |D|0≤R<∣D∣. There are many different algorithms that could be implemented, and we will focus on division by repeated subtraction. This is very similar to thinking of multiplication as repeated addition.
Step-by-step explanation:
Step 1: Subtract DD from NN repeatedly, i.e. N - D - D - D - \cdotsN−D−D−D−⋯ until we get a result that lies between 0 (inclusive) and DD (exclusive) and is the smallest non-negative number obtained by repeated subtraction.
Step 2: The resulting number is known as the remainder RR, and the number of times that DD is subtracted is called the quotient Q
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