Answer:
f(x) = (x +3)(x +1)(x -2)
Step-by-step explanation:
When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.
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The three zeros give rise to a polynomial with three factors:
f(x) = (x -(-3)) · (x -(-1)) · (x -2)
f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function
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This can be expanded using the distributive property.
f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6
f(x) = x³ +2x² -5x -6 . . . . . standard form
