Question

Write the division algorithm when a polynomial p(x) is divided by g(x).
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Answer 1

Answer:

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Step-by-step explanation:

p (x) = g (x) × q (x) + r (x) Here, r (x) = 0 or degree of r (x) < degree of g (x) This result is called the Division Algorithm for polynomials. From the previous example, we can verify the polynomial division algorithm as: p (x) = 3x3 + x2 + 2x + 5. g (x) = x2 + 2x + 1. Also, quotient = q (x) = 3x – 1.