Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) in each of the following:
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DIVISION ALGORITHM for polynomials :
If f(x) and g(x) are any two polynomials with g(x) ≠0 , then we can find polynomials q(x) and r(x) , such that
f(x) = g(x) × q(x) + r(x)
Dividend = Divisor × Quotient + Remainder
Where, r(x) = 0 or degree of r(x) < degree of g(x)
This result is known as a division algorithm for polynomials.
★★ If r(x) = 0, then polynomials g(x) is a factor of polynomial f(x) .
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