Given,

\(\frac{x^{3}+5x^{2}-7x−4}{x−2}\)

On dividing, we get

\(x-2)x^{3}+5x^{2}-7x-4(x^{2}+7x+7\)

\(\frac{x^{3}-2x^{2}}{7x^{2}-7x}\)

\(\frac{7x^{2}-14x}{7x-4}\)

\(\frac{7x-14}{10}\)

Step 2

Therefore,

Quotient is \(x^{2}+7x+7\) & reminder is 10.

\(\frac{x^{3}+5x^{2}-7x−4}{x−2}\)

On dividing, we get

\(x-2)x^{3}+5x^{2}-7x-4(x^{2}+7x+7\)

\(\frac{x^{3}-2x^{2}}{7x^{2}-7x}\)

\(\frac{7x^{2}-14x}{7x-4}\)

\(\frac{7x-14}{10}\)

Step 2

Therefore,

Quotient is \(x^{2}+7x+7\) & reminder is 10.