Question

Question 13 (5 points ) Write a polynomial function of least degree with the given roots: 2,2,5,8

Answer 1

To write a polynomial function with the given roots of 2, 2, 5, and 8, you can use the fact that the roots of a polynomial are the solutions to the equation set equal to zero. The multiplicity of the root 2 is 2, so the polynomial is (x - 2)^2. The final polynomial is (x - 2)^2(x - 5)(x - 8).

Step-by-step explanation:

To write a polynomial function with the given roots, we need to use the fact that the roots of a polynomial are the solutions to the equation set equal to zero. Since the root 2 appears twice, it means that it has a multiplicity of 2. So, the polynomial is (x - 2)^2. The remaining roots are 5 and 8, so the final polynomial is (x - 2)^2(x - 5)(x - 8).