Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots.
x=-4, x=10
To create a polynomial function with the given roots, we need to factorize it with the given roots.
Given roots: x = -4, x = 10
To create a polynomial with these roots, we write:
(x + 4)(x - 10) = 0
Expanding the equation gives:
x^2 + 4x - 10x - 40 = 0
Combining like terms, the polynomial function is:
P(x) = x^2 - 6x - 40