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Military Causes of the Sepoy Mutiny

Divide the po...

Question

Divide the polynomial f(x) = $3 x^{2} - x^{3} - 3 x + 5$ by the polynomial

g(x) = $x - 1 - x^{2}$ and verify the division algorithm.

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Q. Verify division algorithm for the polynomials

f (x) = 8 + 20 x + x^{2} - 6 x^{3}

g (x) = 2 + 5 x - 3 x^{2}

Q. Divide (6 + 19x + x² − 6x³) by (2+ 5x − 3x²) and verify the division algorithm.

Q. The polynomial which when divided by −x² + x − 1 gives a quotient x − 2 and remainder 3, is

(a) x³ − 3x² + 3x − 5
(b) −x³ − 3x² − 3x − 5
(c) −x³ + 3x² − 3x + 5
(d) x³ − 3x² − 3x + 5

x^{3} - 3 x^{2} + 3 x - 5

x - 1 - x^{2}

, and verify the division algorithm

p (x)

g (x)

in the following case and verify division algorithm.

p (x) = x^{3} - 1; g (x) = x - 1

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