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Write a polynomial function of least degree with zeros 1, 3, and 8. Write your answer using the variable x...

Write a polynomial function of least degree with zeros 1, 3, and 8.
Write your answer using the variable x and in standard form with a leading coefficient of 1.
f(x) =

Answer

The polynomial function of least degree with zeros 1, 3, and 8 is:

f(x) = (x - 1)(x - 3)(x - 8)

Expanding this, we get:

f(x) = (x - 1)(x - 3)(x - 8) = (x^2 - 4x + 3)(x - 8)

Further expanding:

f(x) = x^3 - 8x^2 - 4x^2 + 32x + 3x - 24

Simplifying:

f(x) = x^3 - 12x^2 + 35x - 24

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