Q. 1 C4.1( 17 Votes )

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

(y3 – 216) ÷ (y – 6)

Answer :

The linear division method is as follows:

Representing the polynomial in first polynomial in coefficient form:

⟹ 1.y^{3} + 0.y^{2} + 0.y – 216

⟹ (1, 0, 0, -216)

So the final answer is written in the following form:

Quotient = y^{2} + 6y + 36

Remainder = 0

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PREVIOUSDivide 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)NEXTDivide 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)

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