Question: (a) Complete the table. (b) Use the table to make a conjecture relating the sum of the zeros of a polynomial function to the coefficients

(a) Complete the table.

Product Sum Function Zeros of of Zeros Zeros f,(x) = x² – 5x + 6 f,(x) = x – 7x + 6 f,(x) = x4 + 2r + x? + 8x – 1

(b) Use the table to make a conjecture relating the sum of the zeros of a polynomial function to the coefficients of the polynomial function.
(c) Use the table to make a conjecture relating the product of the zeros of a polynomial function to the coefficients of the polynomial function?

Product Sum Function Zeros of of Zeros Zeros f,(x) = x 5x + 6 f,(x) = x 7x + 6 f,(x) = x4 + 2r + x? + 8x 12 f.(x) = x5 3x4 9x3 + 25x2 6x

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