en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^3+4x^2+5x+2

Solution

factor

x^{3} + 4 x^{2} + 5 x + 2

Solution

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

Solution steps

x^{3} + 4 x^{2} + 5 x + 2

Use the rational root theorem

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

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

= (x + 1) (x^{2} + 3 x + 2)

Factor

x^{2} + 3 x + 2 : (x + 1) (x + 2)

= (x + 1) (x + 1) (x + 2)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

factor 3y^2+5y-2 factor

3 y^{2} + 5 y - 2

simplify (3n*3n)/((2n^0)^2)simplify

\frac{3 n \cdot 3 n}{( 2 n ^{0} ) ^{2}}

2 x + 5 = 19

simplify-4^2 simplify

- 4^{2}

(2(4-3x))/5 >(2(1+x))/3

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

Frequently Asked Questions (FAQ)

What is factor x^3+4x^2+5x+2 ?
The solution to factor x^3+4x^2+5x+2 is (x+1)^2(x+2)