# Consider the polynomial Division frac{x^{3}+5x^{2}-7x−4}{x−2} The correct Answer is: hint the answers contains x^{2}, x, and it has a remainder.

Question
Polynomial division
Consider the polynomial Division $$\frac{x^{3}+5x^{2}-7x−4}{x−2}$$
The correct Answer is: hint the answers contains $$x^{2}$$, x, and it has a remainder.

2020-11-09
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.

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