Q. 1 F4.1( 18 Votes )

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

(y3 – 3y2 + 5y – 1) ÷ (y – 1)

Answer :

The linear division is as follows:

Representing the polynomial in first polynomial in coefficient form:

1.y3 – 3.y2 + 5.y – 1

(1, -3, 5, -1)

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

Quotient = y2 – 2y + 3

Remainder = 2

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