Q. 1 E4.0( 18 Votes )

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

(x4 – 3x2 – 8) ÷ (x+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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