Question

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

Answer 1

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.