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Division of a Polynomial by a Polynomial

Write the quo...

Question

Write the quotient and remainder when we divide.

$x^{4} - 2 x^{2} + 2 x^{2} + x + 4$ by $x^{2} + x + 1$

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Solution

$∴$ Quotient = $x^{2} - 3 x + 4$

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Q. Write the quotient and remainder when we divide:
(8x⁴ + 10x³ − 5x² − 4x + 1) by (2x² + x − 1)

x^{4} + x^{3} - 2 x^{2} + x + 1

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and the quotient is .

x^{4} + x^{3} - 2 x^{2} + x + 1

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, the remainder is 2 and the quotient is q(x). Find q(x).

When $x^{4} + x^{3} - 2 x^{2} + x + 1$ is divided by x-1, the remainder is 2 and the quotient is q(x). Find q(x).

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