Q. 1 B4.6( 23 Votes )

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

(x4 + 2x3 + 3x2 + 4x +5) ÷ (x + 2)

Answer :

The linear division is as follows:

Representing the polynomial in first polynomial in coefficient form:

1.x4 + 2.x3 + 3x2 + 4x + 5

(1 2 3 4 5)

So the final answer is written in the following form:

Quotient = x3 + 3x – 2

Remainder = 9

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