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

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rational roots x^3-7x+6

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

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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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rational roots x³−7x+6

Solution

x=1, x=2, x=−3

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x³−7x+6

Rational root theorem definition

For a polynomial equation with integer coefficients: a_nxⁿ+a_n−1xⁿ⁻¹+…+a₀
If a₀ and a_n are integers, then if there is a rational solution
it could be found by checking all the numbers produced for ± dividers of a₀ dividers of a_n

a₀=6,     a_n=1
The dividers of a₀:    1, 2, 3, 6,     The dividers of a_n:    1
The following rational numbers are candidate roots:     ± 1, 2, 3, 61

Validate the roots by plugging them into x³−7x+6=0: x=1, x=2, x=−3

x=1, x=2, x=−3

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