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Divide the polynomial p(x) by the polyn...

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

Text Solution

Verified by Experts

The correct Answer is:
i] Quotient = x - 3, Remainder ` = 7xx - 9`
ii] Quotient ` = x^(2) + x - 3` Remainder = 8
iii] Quotient ` = - x^(2) - 2`, Remainder = - 5 `xx` + 10 .
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(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

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