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

Question
Polynomial factorization
Consider the polynomial Division $$\displaystyle\frac{{{x}^{{3}}+{5}{x}^{{2}}-{7}{x}−{4}}}{{{x}−{2}}}$$

2021-02-26
Given,
$$\displaystyle\frac{{{x}^{{3}}+{5}{x}^{{2}}-{7}{x}−{4}}}{{{x}−{2}}}$$
On dividing, we get
$$\displaystyle{\left({x}-{2}\right)}{x}^{{3}}+{5}{x}^{{2}}-{7}{x}-{4}{\left({x}^{{2}}+{7}{x}+{7}\right)}$$
$$\displaystyle\frac{{{x}^{{3}}-{2}{x}^{{2}}}}{{{7}{x}^{{2}}-{7}{x}}}$$
$$\displaystyle\frac{{{7}{x}^{{2}}-{14}{x}}}{{{7}{x}-{4}}}$$
$$\displaystyle\frac{{{7}{x}-{4}}}{{{10}}}$$
Step 2
Therefore,
Quotient is $$\displaystyle{x}^{{2}}+{7}{x}+{7}$$ & reminder is 10.

### Relevant Questions

Consider the polynomial Division $$\frac{x^{3}+5x^{2}-7x−4}{x−2}$$
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