What are the solutions to the equation roots x^3+3x^2+3x+1 ?

The solutions to the equation roots x^3+3x^2+3x+1 are x=-1

Find the zeros of roots x^3+3x^2+3x+1

The zeros of roots x^3+3x^2+3x+1 are x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

x^{3} + 3 x^{2} + 3 x + 1

x = - 1

Solution steps

x^{3} + 3 x^{2} + 3 x + 1

The roots are the intercepts with the x-axis

(y = 0)

x^{3} + 3 x^{2} + 3 x + 1 = 0

Factor

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

(x + 1)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0

Solve

x + 1 = 0 : x = - 1

The solution is

x = - 1

x^{3} - 75 x - 250 = 0

12 x^{3} - 3 x^{2} = 0

9 x^{4} - 16 = 0

4 x^{2} - 9 = (2 x^{3}) (2 x - 3)

2 x^{4} = 9 x^{2}

What are the solutions to the equation roots x^3+3x^2+3x+1 ?
The solutions to the equation roots x^3+3x^2+3x+1 are x=-1
Find the zeros of roots x^3+3x^2+3x+1
The zeros of roots x^3+3x^2+3x+1 are x=-1