find the zeroes of the cubic polynomial x^3+2x^2-x-2
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We will use the Rational Root Theorem:
If the rational number r/s is a root of a polynomial whose coefficients are integers, then the integer r is a factor of the constant term, and the integer s is a factor of the leading coefficient.
So, if the constant therm is 2 and the leading factor is 1, candidates for roots are:
±1, ±2
If we try them, we discover that the roots are:
±1, 2
Step-by-step explanation:
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