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Q.

If p(x) = dividend, g(x) = divisor, q(x) = quotient, and r(x) = remainder, then identify the correct statement.

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a

p(x) = g(x) × q(x) + r(x)

b

r(x) = g(x) × q(x) + p(x) 

c

g(x) = p(x) × q(x) + r(x) 

d

q(x) = g(x) × p(x) + r(x) 

answer is A.

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Detailed Solution

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The division algorithm for polynomials states that, if p(x) and g(x) are any two polynomials with g(x) ≠ 0, then we can find polynomials q(x) and r(x) such that 

p(x) = g(x) × q(x) + r(x) ; r(x) = 0 or degree of r(x) < degree of g(x). 

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