I need solve this equation

$\displaystyle x^3+2x^2+2x+1=0$

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- Oct 7th 2011, 01:38 AMMhmh96Solve a cubic
I need solve this equation

$\displaystyle x^3+2x^2+2x+1=0$ - Oct 7th 2011, 03:49 AMProve ItRe: Solve equation
- Oct 7th 2011, 05:57 AMsbhatnagarRe: Solve equation
The factors of $\displaystyle x^3+2x^2+2x+1$ are $\displaystyle (1 + x) (1 + x + x^2)$.

Now, roots of the equation can be found. - Oct 8th 2011, 02:28 AMsankalpmittalRe: Solve equation
Correct though.

@ Mhmh96

You can use factor theorem to factorize this equation : x^3+2x^2+2x+1

What are the factors of 1 ?

1 AND -1

-1 is satisfying the equation to 0

f(-1) =0

so

x+1 is factor of x^3+2x^2+2x+1

Now use division method .

Quotient will be

(1 + x + x^2)

So x^3+2x^2+2x+1 = (x+1)(1 + x + x^2)