Divide (x3 – 8x2 + 17x – 10) ÷ (x – 5)
To divide (x^3 – 8x^2 + 17x – 10) by (x – 5), we can use polynomial long division.
We start by dividing the first term of the numerator (x^3) by the first term of the denominator (x), which gives us x^2. We then multiply the entire denominator (x - 5) by x^2 and subtract it from the numerator.
x^2
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x - 5 | x^3 - 8x^2 + 17x - 10
- (x^3 - 5x^2)
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- 3x^2 + 17x
- (-3x^2 + 15x)
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2x - 10
- (2x - 10)
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0
The result of the division is x^2 + 3x + 2.