Question

Create a possible polynomial equation in factored form of the given polynomial. Use the following sentence stems in your constructed response: The zeros are _____, _____, and _____. One of the zeros has a multiplicity of 2 because __________. The degree of the function is ___ because________?

Answer 1

To create a polynomial equation in factored form, we need to know the zeros of the equation. Assuming one of the zeros has a multiplicity of 2, we can determine the degree of the function by adding the multiplicities of all the factors.

Step-by-step explanation:

To create a polynomial equation in factored form, we need to know the zeros of the equation. Let's say the zeros are a, b, and c. Now, let's assume that one of the zeros, let's say a, has a multiplicity of 2. This means that the factor (x - a) appears twice in the equation. The degree of the function is determined by adding the multiplicities of all the factors. So, in this case, the degree of the function would be 2 + 1 + 1 = 4 because there are 4 factors.