What is (2x^3+5x^2+9)/(x+3) ?

The solution to (2x^3+5x^2+9)/(x+3) is 2x^2-x+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x^3+5x^2+9)/(x+3)

simplify

\frac{2 x ^{3} + 5 x ^{2} + 9}{x + 3}

2 x^{2} - x + 3

Solution steps

\frac{2 x ^{3} + 5 x ^{2} + 9}{x + 3}

Factor

2 x^{3} + 5 x^{2} + 9 : (x + 3) (2 x^{2} - x + 3)

= \frac{( x + 3 ) ( 2 x ^{2} - x + 3 )}{x + 3}

Cancel the common factor:

x + 3

= 2 x^{2} - x + 3

- \frac{4}{7} + \frac{2}{7} x - 14 x + \frac{4}{7}

(2 x^{3} - 3 x^{2} + 5 x - 1) + (x^{2} + 1 - 3 x)

\frac{27 m ^{4} n ^{6} - 15 m ^{3} n ^{6} + 3 m n ^{2}}{3 m n ^{2}}

\frac{x ^{2}}{x + 1}

(2 x - 9) (3 x - 5)