Given the polynomial P(x)=10x^4+39x^3+13x^2-49x+15. List all possible rational zeros, using the rational zero theorem. Find all zeros of P using synthetic division.

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Chapter6: Topics In Analytic Geometry
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Given the polynomial P(x)=10x^4+39x^3+13x^2-49x+15. List all possible rational zeros, using the rational zero theorem. Find all zeros of P using synthetic division. 

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