Q. 1 B4.6( 5 Votes )

# Find the quotient and the remainder on dividing f(x) by using division algorithm.

f(x) = x^{3} – 3x^{2} + 5x – 3, g(x) = x^{2} – 2

Answer :

The solution is as follows:

Quotient = x – 3

Remainder = 7x – 9

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Dividing the first polynomial, by the second polynomial, check whether the first polynomial is a factor of the second polynomial:

g(x) = x^{3} – 3x + 1, f(x) = x^{5} – 4x^{3} + x^{2} + 3x + 1

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Dividing the first polynomial, by the second polynomial, check whether the first polynomial is a factor of the second polynomial:

g(t) = t^{2} – 3, f(t) = 2t^{4} + 3t^{3} – 2t^{2} – 9t – 12

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Dividing the first polynomial, by the second polynomial, check whether the first polynomial is a factor of the second polynomial:

g(x) = x^{2} + 3x + 1, f(x) = 3x^{4} + 5x^{3} – 7x^{2} + 2x + 2

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With the following polynomials their zeroes are given. Find their all other zeroes:

f(x) = x^{3} + 13x^{2} + 32x + 20; –2

Rajasthan Board Mathematics

Find the quotient and the remainder on dividing f(x) by using division algorithm.

f(x) = x^{3} – 3x^{2} + 5x – 3, g(x) = x^{2} – 2

Rajasthan Board Mathematics

Find the quotient and the remainder on dividing f(x) by using division algorithm.

f(x) = x^{3} – 6x^{2} + 11x – 6, g(x) = x + 2

Rajasthan Board Mathematics

Find the quotient and the remainder on dividing f(x) by using division algorithm.

f(x) = 9x^{4} – 4x^{2} + 4, g(x) = 3x^{2} + x – 1

Rajasthan Board Mathematics

With the following polynomials their zeroes are given. Find their all other zeroes:

Rajasthan Board Mathematics

With the following polynomials their zeroes are given. Find their all other zeroes:

Rajasthan Board Mathematics