Answer:
p(x) = (x + 1)²(5x - 1)²
Step-by-step explanation:
Since we are given the 2 zeroes, we put them into binomial form:
(x + 1)(5x - 1)
We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:
(x + 1)²(5x - 1)²
When we multiply it out, we should get a polynomial with a degree of 4.
