What is the result when 2x^3−9x^2+11x−6 is divided by x−3?
To find the result when 2x^3 − 9x^2 + 11x − 6 is divided by x − 3, we can use polynomial long division.
2x^2 -3x +2
_________________________
x - 3 | 2x^3 -9x^2 +11x -6
- (2x^3 - 6x^2)
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-3x^2 +11x -6
+ (3x^2 -9x)
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2x -6
+ (2x -6)
_________________________
0
Hence, the result is 2x^2 - 3x + 2.