points) Write the equation in factored form of the degree 4 polynomials with:
Roots: − 3, 5 (multiplicity 2), and 1
To write the equation in factored form of a degree 4 polynomial with the given roots, we need to determine the linear factors corresponding to each root.
Given roots: −3, 5 (multiplicity 2), and 1.
First, we can start by writing the factors for each root:
For the root −3, we have a linear factor (x + 3).
For the root 5 with multiplicity 2, we have a quadratic factor (x - 5)².
For the root 1, we have a linear factor (x - 1).
The factored form of the degree 4 polynomial can be written as the product of these factors:
(x + 3)(x - 5)²(x - 1)
This is the equation in factored form of the degree 4 polynomial with the given roots.
you know, we really don't care how many points your homework questions are worth ...
p(x) = (x+3) (x-5)^2 (x-1)