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

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

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up