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
asked 2020-11-08
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.

Answers (1)

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.
0

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