What is ((2x^4-9x^3+9x^2+5x-1))/((2x+1)) ?

The solution to ((2x^4-9x^3+9x^2+5x-1))/((2x+1)) is x^3-5x^2+7x-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((2x^4-9x^3+9x^2+5x-1))/((2x+1))

simplify

\frac{( 2 x ^{4} - 9 x ^{3} + 9 x ^{2} + 5 x - 1 )}{( 2 x + 1 )}

x^{3} - 5 x^{2} + 7 x - 1

Solution steps

\frac{2 x ^{4} - 9 x ^{3} + 9 x ^{2} + 5 x - 1}{2 x + 1}

Factor

2 x^{4} - 9 x^{3} + 9 x^{2} + 5 x - 1 : (2 x + 1) (x^{3} - 5 x^{2} + 7 x - 1)

= \frac{( 2 x + 1 ) ( x ^{3} - 5 x ^{2} + 7 x - 1 )}{2 x + 1}

Cancel the common factor:

2 x + 1

= x^{3} - 5 x^{2} + 7 x - 1

\frac{1}{10} \times 10

25 6^{3}

\frac{50}{6}

\frac{5}{2} \div \frac{3}{2}

3 - x - \frac{x}{2 3 - x}

What is ((2x^4-9x^3+9x^2+5x-1))/((2x+1)) ?
The solution to ((2x^4-9x^3+9x^2+5x-1))/((2x+1)) is x^3-5x^2+7x-1