A cubic equation has zeros at 2, 1, and 3.
a. Write an equation for a polynomial function that meets the given conditions.
b. Draw the graph of a polynomial function that meets the given conditions.
Toots are 2, 1 & 3
x₀ = 2 x₁ = 1 x₂ = 3
Now the equation will be
= (x - x₀)(x - x₁)(x - x₂)
= (x - 2)(x - 1)(x - 3)
= (x^2 - 3x + 2)(x - 3)
= x^3 - 3x^2 + 2x - 3x^2 + 9x - 6
= x^3 - 6x^2 + 11x - 6
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