Use long division to find the quotient.

(x²+6x-27) ÷ (x-3)

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13-05-2014
Mathematics

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Use long division to find the quotient.

(x²+6x-27) ÷ (x-3)

Sagot :

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Lilith Lilith · Answer 1 · 2014-05-13T13:30:58-04:00

Lilith Lilith

13-05-2014

[tex]\frac{ x^2+6x-27 }{x-3} = \frac{ x^2+6x +3x-3x-27 }{x-3} = \frac{ x^2+9x-3x-27 }{x-3} = \\ \\ =\frac{ x(x +9 )-3(x+9) }{x-3} = \frac{ (x +9 ) (x-3) }{x-3} = x+9 \\ \\ \\ x-3\neq 0 \\x\neq 3\\D=R\setminus \left \{ 3 \right \}[/tex]

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