A cubic equation has zeros at ?

Mathematics
Tutor: None Selected Time limit: 1 Day

 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.

Aug 5th, 2015

Toots are 2, 1 & 3

Let 

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


Aug 5th, 2015

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