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)

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Solution

Using long division method,

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

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Q. 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).

Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

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Long Division Method to Divide Two Polynomials

Standard X Mathematics

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Question 13 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

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)

Using long division method,

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