Question

Create a polynomial function in standard form of the least degree with real coefficients that has the provided zeros: -3, -1, and 1.

Answer 1

To create a polynomial function in standard form with the given zeros, multiply the factors corresponding to the zeros and expand the expression.

Step-by-step explanation:

To create a polynomial function in standard form, we need to multiply the factors corresponding to the zeros. Since the zeros are -3, -1, and 1, the factors are x + 3, x + 1, and x - 1, respectively. Multiplying these factors gives us (x + 3)(x + 1)(x - 1). Expanding this expression gives us x^3 + 3x^2 - x - 3.