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.

(x^{4} – 3x^{2} – 8) ÷ (x+4)

Answer :

The linear division is as follows:

Representing the polynomial in first polynomial in coefficient form:

⟹ 1.x^{4} + 0.x^{3} – 3.x^{2} + 0.x – 8

⟹ (1, 0, -3, 0, -8)

So the final answer is written in the following form:

Quotient = x^{3} – 4x^{2} + 13x - 52

Remainder = 200

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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.(2x4 + 3x3 + 4x - 2x2) ÷ (x+3)NEXTDivide 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)

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