find the remainder when 6x³ + 11x² - 39x - 65 is divided by x² - 1 + x
Answers
Step-by-step explanation:
6x+5-38/x
____________________
x² - 1 + x | 6x^3+11x^2-39x-65
|
|. 6x^3+6x^2-6x
|. - - +
|_____________________
|. 5x^2-33x^-65
|. 5x^2+5x-5
|. - - +
|______________________
|. -38x-60
|. -38x-38
| +. +
|_____________________
-22
6x+5-38/x=>(6x^2+5x-38)(x² - 1 + x)
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