Question

. Using division algorithm, find quotient q(x) and remainder r(x) if f(x) is divided

by g(x).

f ( x) = x*3-x*2+4x-8,g(x)=x+3

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Answer 1

ANSWER ::

The zero of the polynomial x - a is given by

X + 3 = 0

So x = - 3

Let f(x) = x³- x² + 4x - 8

Now by the Remainder Theorem the required Remainder is

Now by the Remainder Theorem the required Remainder is f(a) = (-3) ³- (-3)² + 4(-3) - 8 = - 27-9-12-8 = - 56

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