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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Polynomial Equation Calculator >

x^3-2x=0

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

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∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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x³−2x=0

Solution

x=0, x=−√2, x=√2

Decimal

x=0, x=−1.41421…, x=1.41421…

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Solution steps

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x³−2x=0

Factor x³−2x: x(x+√2)(x−√2)

x(x+√2)(x−√2)=0

Using the Zero Factor Principle: If ab=0 then a=0 or b=0

x=0 or x+√2=0 or x−√2=0

Solve x+√2=0: x=−√2

Solve x−√2=0: x=√2

The solutions are

x=0, x=−√2, x=√2

Polynomial Equation Examples

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