Find a cubic function with the given zeros. (2 points) Square root of six. , - Square root of six. , -3

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01-02-2018
Mathematics

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Find a cubic function with the given zeros. (2 points) Square root of six. , - Square root of six. , -3

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zhaotianyu369 zhaotianyu369 · Answer 1 · 2018-02-01T21:55:05+01:00

zhaotianyu369 zhaotianyu369

01-02-2018

Given these three roots, we can write the polynomial as P=(x+\sqrt(6))*(x-\sqrt(6))*(x+3), which is a cubic function. (x+\sqrt(6))*(x-\sqrt(6))=x^2-6. (x^2-6)(x+3)=x^3+3x^2-6x-18.

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