Question

Write a polynomial in standard form that meets the stated conditions:

The zeros are 5, 1/2, and 1. Use x as your variable.

Answer 1

To write a polynomial in standard form with the given zeros, we can use the factored form of the polynomial. By multiplying these factors, we can expand and simplify the expression to get the polynomial in standard form.

Step-by-step explanation:

To write a polynomial in standard form with the given zeros, we can use the factored form of the polynomial. The factored form is given by (x - 5)(x - 1/2)(x - 1). By multiplying these factors, we can expand and simplify the expression to get the polynomial in standard form.

Expanding the expression, we get:

x³ - 7/2x² + 11/2x - 5/2

So, the polynomial in standard form with the given zeros is x³ - 7/2x² + 11/2x - 5/2.