1.write the formula for the function that has degree 3 and zeros of -1,2 and 5 with a lead coefficient of 1? (leave answer in factored form)

f(x)=

2. Write the formula for the function that has degree of 4 and zeros of -4, 3(multiplicity 2) and 4 with a lead coefficient of -1? (leave answer in factored form)
f(x)=

what's the problem? The roots give the factors:

1.
(1)(x+1)(x-2)(x-5)

2.
(-1)(x+4)(x-3)(x-3)(x-4)

To write the formula for a polynomial function given its degree and zeros, we need to use the concept of factoring.

1. Degree 3 with zeros -1, 2, and 5:
- Since the degree is 3, there will be three linear factors in the equation.
- The linear factors can be written as (x - (-1)), (x - 2), and (x - 5).
- Simplifying each of the factors, we get (x + 1), (x - 2), and (x - 5).
- Multiplying these linear factors together gives us the factored form of the equation:
f(x) = (x + 1)(x - 2)(x - 5)

2. Degree 4 with zeros -4, 3 (multiplicity 2), and 4:
- Since the degree is 4, there will be four linear factors in the equation.
- The linear factors can be written as (x - (-4)), (x - 3), (x - 3), and (x - 4).
- Simplifying each of the factors, we get (x + 4), (x - 3), (x - 3), and (x - 4).
- Multiplying these linear factors together gives us the factored form of the equation:
f(x) = (x + 4)(x - 3)(x - 3)(x - 4)

Note: In the second equation, the zero 3 has a multiplicity of 2, which means it appears twice as a zero.