Question

Polynomial Function from Zeros Calculator

A: Factored Form |
B: Standard Form |
C: Vertex Form |
D: General Form

Answer 1

A polynomial function is a function of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0. To determine the equation of a polynomial function from its zeros, you can use the factored form and then convert it to standard form.

Step-by-step explanation:

A polynomial function is a function of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where an is the coefficient of the highest degree term, an-1 is the coefficient of the second highest degree term, and so on.

To determine the equation of a polynomial function when given its zeros, you can use the factored form. For example, if the zeros are x = 2, x = -3, and x = 5, the factored form would be f(x) = (x - 2)(x + 3)(x - 5).

To convert the factored form to standard form, you need to expand the expression. Using the example above, f(x) = (x - 2)(x + 3)(x - 5) can be expanded to f(x) = x3 - 4x2 - 7x + 30.