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

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


Dividend = 6x3 + 13x2 + x – 2


Divisor = 2x + 1


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 = 3x2 + 5x – 2


Remainder = 0


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6

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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:

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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

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

x2 + 3x + 1,3x4 + 5x3 – 7x2 + 2x + 2