X^4+2x^3+3x^2+5x+3 ÷ x^2+3

1.	X^4+2x^3+3x^2+5x+3 ÷ x^2+3
Answer» Question:- Find Quotient q(X) and Remainder r(x)? GIVEN:- →p(x)=x⁴+2x³+3x²+5x+3 →g(x)=x²+3 $\rule{200}{1}$ To Find:- →The Quotient and Remainder?[q(x)&r(x)] $\rule{200}{1}$ ANSWER:- ๛Using Formula๛ →p(x)=q(x)×g(x)+r(x) → $\frac{p(x)}{g(x)}$ =q(x)+r(x) ๛Putting the Values๛ → $\frac{x^{4}+2x^{3}+3x^{2}+5x+3}{x^{2}+3}$ =q(x)+r(x) → $\frac{\cancel{x^{4}+2x^{3}+3x^{2}+5x+3}}{\cancel{x^{2}+3}}$ =q(x)+r(x) → $\frac{\cancel{x^{4}+2x^{3}+3x^{2}+5x+3}}{\cancel{x^{2}+3}}$ =x²+2x+(-x+3) ๛q(x)=x²+2x ๛r(x)=(-x+3) $\rule{200}{1}$ [Refer ATTACHMENT For Division] $\rule{200}{2}$

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