Q6 of 90 Page 2

Apply Division Algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) as given below:

p(x) = x3 – 6x2 + 11x – 6 , g(x) = x2 – 5x + 6

p(x) = x3 – 6x2 + 11x – 6,g(x) = x2 – 5x + 6


Dividend = x3 – 6x2 + 11x – 6


Divisor = x2 – 5x + 6


Here, dividend and divisor both are in the standard form.


Now, on dividing p(x) by g(x) we get the following division process



Quotient = x – 1


Remainder = 6x


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Apply Division Algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) as given below:

p(x) = 6x3 + 13x2 + x – 2 , g(x) = 2x + 1

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Applying the Division Algorithm, check whether the first polynomial is a factor of the second polynomial:

x – 2, x3 + 3x3 – 12x + 4