1. Divide each of the following polynomials by synthetic division method and a
linear division method. Write the quotient and the remainder.
(2 + 3x + 4x - 2x ) = (x + 3)
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4
Answer:
The linear division is as follows:
Representing the polynomial in first polynomial in coefficient form:
⟹ 1.x4 + 0.x3 – 3.x2 + 0.x – 8
⟹ (1, 0, -3, 0, -8)
So the final answer is written in the following form:
Quotient = x3 – 4x2 + 13x - 52
Remainder = 200
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