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synthetic division (x^2+5x+6)/(x+2)

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

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synthetic division x²+5x+6x+2

Solution

x+3

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Solution steps

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x²+5x+6x+2

Coefficients of the numerator polynom

1 5 6

Find the zeros of the denominator: x=−2

Write the problem in synthetic division format

−2¦ 1 5 6

Carry down the leading coefficient, unchanged, to below the division symbol

−2¦ 1 5 6

Multiply the carry-down value by the zero of the denominator, and carry the result up into the next column:

1(−2)=−2

−2¦ 1 5 6

¦ −2

Add down the column:

5−2=3

−2¦ 1 5 6

¦ −2

1 3

Multiply the carry-down value by the zero of the denominator, and carry the result up into the next column:

3(−2)=−6

−2¦ 1 5 6

¦ −2 −6

1 3

Add down the column:

6−6=0

−2¦ 1 5 6

¦ −2 −6

1 3 0

The last carry-down value is the remainder

Write the result in polynom format

x+3

Synthetic Division Examples

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

synthetic division (x^2+5x+6)/(x+2)

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Solution steps

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