Answer:
For a polynomial of any degree, with roots x₁, x₂, ...., xₙ and a leading coefficient A, we can write it as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case, we have:
Leading coefficient = -1
Roots : 1, 1 + 73, 1 - 3
Then the polynomial will be:
p(x) = -1*(x - 1)*(x - (1 + 73))*(x - (1 - 3))
= -1*(x - 1)*(x - 74)*(x + 2)
Now, if the roots are:
1, 1 + 73*i, 1 - 3*i
then:
p(x) = -1*(x - 1)*(x - 1 - 73*i)*(x - 1 + 3*i)
