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Show that (x-3) is a factor of the polyn...

Show that (x-3) is a factor of the polynomial `x^(3)+x^(2)-17x+15`.

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To show that \( (x - 3) \) is a factor of the polynomial \( x^3 + x^2 - 17x + 15 \), we will use the Factor Theorem. According to the Factor Theorem, if \( (x - c) \) is a factor of a polynomial \( P(x) \), then \( P(c) = 0 \). ### Step-by-Step Solution: 1. **Identify the Polynomial**: The polynomial given is: \[ P(x) = x^3 + x^2 - 17x + 15 ...
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