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6+11x+6x^2+x^3=0

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6+11x+6x²+x³=0

Solution

x=−1, x=−2, x=−3

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6+11x+6x²+x³=0

Write in the standard form a_nxⁿ+… +a₁x+a₀=0

x³+6x²+11x+6=0

Factor x³+6x²+11x+6: (x+1)(x+2)(x+3)

(x+1)(x+2)(x+3)=0

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

x+1=0 or x+2=0 or x+3=0

Solve x+1=0: x=−1

Solve x+2=0: x=−2

Solve x+3=0: x=−3

The solutions are

x=−1, x=−2, x=−3

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

6+11x+6x^2+x^3=0

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