What is factor x^3+2x+(-x^2+4) ?

The solution to factor x^3+2x+(-x^2+4) is (x+1)(x^2-2x+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^3+2x+(-x^2+4)

factor

x^{3} + 2 x + (- x^{2} + 4)

(x + 1) (x^{2} - 2 x + 4)

Solution steps

x^{3} + 2 x + (- x^{2} + 4)

Remove parentheses:

(- a) = - a

= x^{3} + 2 x - x^{2} + 4

Use the rational root theorem

a_{0} = 4, a_{n} = 1

The dividers of

a_{0} : 1, 2, 4,

The dividers of

a_{n} : 1

Therefore, check the following rational numbers:

\pm \frac{1 , 2 , 4}{1}

- \frac{1}{1}

is a root of the expression, so factor out

x + 1

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

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

= (x + 1) (x^{2} - 2 x + 4)

\frac{x - 16}{x - 4}

3 y^{2} + 7 - 20

[1100]

l m (e)

[23]

What is factor x^3+2x+(-x^2+4) ?
The solution to factor x^3+2x+(-x^2+4) is (x+1)(x^2-2x+4)