By actual division, find the quotient and the remainder when the first polynomial $x^{4} + 1$ is divided by the polynomial (x - 1)

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Solution

Using long division method,

Quotient = $x^{3} + x^{2} + x + 1$ and Remainder = 2

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Question 13
By actual division, find the quotient and the remainder when the first polynomial $x^{4} + 1$ is divided by the polynomial (x - 1)

Q. By actual division, find the remainder when

x^{4} + 1

is divided by the polynomial

x - 1

Find the Quotient and the Remainder when the first polynomial is divided by the second.

(x^{4} - 2 x^{3} + 2 x^{2} + x + 4)

(x^{2} + x + 1)

By actual division, find the quotient and the remainder when $(x^{4} + 1)$ is divided by (x - 1).
Verify that remainder = f(1).

The polynomial x⁴- 2x³+ 3x²- ax + b when divided by x +1 and x -1 give remainder 19 and 5 respectively . Find the remainder when the polynomial is divided by x -3

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By actual division, find the quotient and the remainder when the first polynomial x4+1 is divided by the polynomial (x - 1)

Using long division method, Quotient = x3+x2+x+1 and Remainder = 2

By actual division, find the quotient and the remainder when the first polynomial $x^{4} + 1$ is divided by the polynomial (x - 1)

Using long division method,

Quotient = $x^{3} + x^{2} + x + 1$ and Remainder = 2