Consider the polynomial Division (x^3+5x^2-7x−4)/(x−2)

Consider the polynomial Division $\frac{{x}^{3}+5{x}^{2}-7x-4}{x-2}$
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Given,
$\frac{{x}^{3}+5{x}^{2}-7x-4}{x-2}$
On dividing, we get
$\left(x-2\right){x}^{3}+5{x}^{2}-7x-4\left({x}^{2}+7x+7\right)$
$\frac{{x}^{3}-2{x}^{2}}{7{x}^{2}-7x}$
$\frac{7{x}^{2}-14x}{7x-4}$
$\frac{7x-4}{10}$
Step 2
Therefore,
Quotient is ${x}^{2}+7x+7$ & reminder is 10.
Jeffrey Jordon