Divide the polynomial p-x- - x-3 - 3x-2 - 5x - 3 by the polynomial g-x- - x-2 - 2- Find the quotient and remainder-

Question

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Given-p-x-x3-x2212-3x2-5x-x2212-3g-x-x2-x2212-2p-x-xF7-g-x-x3-x2212-3x2-5x-x2212-3-xF7-x2-x2212-2-x3-x2212-3x2-5x-x2212-3x2-x2212-2-x-x2212-3-7x-x2212-9-x2-x2212-2-Quotient -x-x2212-3-Remainder -7x-x2212-9-

Divide the polynomial $p (x) = x^{3} - 3 x^{2} + 5 x - 3$ by the polynomial $g (x) = x^{2} - 2$ . Find the quotient and remainder.

Given:-
$p (x) = x^{3} - 3 x^{2} + 5 x - 3$
$g (x) = x^{2} - 2$
$p (x) \div g (x)$
$(x^{3} - 3 x^{2} + 5 x - 3) \div (x^{2} - 2)$
$\frac{x^{3} - 3 x^{2} + 5 x - 3}{x^{2} - 2} = (x - 3) + \frac{(7 x - 9)}{(x^{2} - 2)}$
Quotient $= (x - 3)$
Remainder $= (7 x - 9)$

Divide the polynomial p(x)=x3−3x2+5x−3 by the polynomial g(x)=x2−2. Find the quotient and remainder.

Given:-p(x)=x3−3x2+5x−3g(x)=x2−2p(x)÷g(x)(x3−3x2+5x−3)÷(x2−2)x3−3x2+5x−3x2−2=(x−3)+(7x−9)(x2−2)Quotient =(x−3)Remainder =(7x−9)

Divide the polynomial $p (x) = x^{3} - 3 x^{2} + 5 x - 3$ by the polynomial $g (x) = x^{2} - 2$ . Find the quotient and remainder.

Given:-
$p (x) = x^{3} - 3 x^{2} + 5 x - 3$
$g (x) = x^{2} - 2$
$p (x) \div g (x)$
$(x^{3} - 3 x^{2} + 5 x - 3) \div (x^{2} - 2)$
$\frac{x^{3} - 3 x^{2} + 5 x - 3}{x^{2} - 2} = (x - 3) + \frac{(7 x - 9)}{(x^{2} - 2)}$
Quotient $= (x - 3)$
Remainder $= (7 x - 9)$