Q1 of 84 Page 46

Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

(2x4 + 3x3 + 4x - 2x2) ÷ (x+3)

The linear division is as follows:



Representing the polynomial in first polynomial in coefficient form:


⟹ 2.x4 + 3.x3 – 2.x2 + 4.x


⟹ (2, 3, -2, 4, 0)



So, the final answer is written in the following form:


Quotient = 2x3 – 3x2 + 7x – 17


Remainder = 51


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