Question

Apply the division algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) .
p(x) = x^4 + 4 g(x) = x^2 + x +1
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Answer 1

Answer:

p(x)=x

3

−6x

2

+11x−6,g(x)=x

2

−5x+6

Dividend =x

3

−6x

2

+11x−6

Divisor =x

2

−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