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(i) Divide the polynomial p(x) by the po...

(i) Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
`p(x)=x^3-3x^2+5x-3,g(x)=x^2-2`
(ii) Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
`p(x)=x^4-3x^2+4x+5,g(x)=x^2+1-x`
(iii) Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
`p(x)=x^4-5x+6,g(x)=2-x^2`

Text Solution

Verified by Experts

The correct Answer is:
Quotien= `x^(2)+x-3`, remainder = 8
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