Question

f(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 find f(x)/g(x)

Answer 1

well what's stopping you do f(x)/g(x)!

Answer 2

\(\bf \large {
f(x)=x^3+6x^2+x^{\frac{1}{2}} \qquad g(x)=x^{\frac{1}{2}}
\\ \quad \\
\cfrac{f(x)}{g(x)}\implies \cfrac{x^3+6x^2+x^{\frac{1}{2}}}{x^{\frac{1}{2}}}\implies
\cfrac{x^3}{x^{\frac{1}{2}}}+\cfrac{6x^2}{x^{\frac{1}{2}}}+\cfrac{x^{\frac{1}{2}}}{x^{\frac{1}{2}}}
\\ \quad \\
recall\implies {\color{brown}{ \cfrac{a^m}{a^n}\implies a^{n-m}}}
}\)

Answer 3

hmmm lemem fix that a bit \(\bf \large {
f(x)=x^3+6x^2+x^{\frac{1}{2}} \qquad g(x)=x^{\frac{1}{2}}
\\ \quad \\
\cfrac{f(x)}{g(x)}\implies \cfrac{x^3+6x^2+x^{\frac{1}{2}}}{x^{\frac{1}{2}}}\implies
\cfrac{x^3}{x^{\frac{1}{2}}}+\cfrac{6x^2}{x^{\frac{1}{2}}}+\cfrac{x^{\frac{1}{2}}}{x^{\frac{1}{2}}}
\\ \quad \\
recall\implies {\color{brown}{ \cfrac{a^m}{a^n}\implies a^{m-n}}}
}\)