Write a polynomial function of least degree with rational coefficients so that ​P(x)=0 has the given roots, x= -4, x=10

Answer 1

For the roots given, you can find the factors

(x+4)(x-10) Multiply them together to find the polynomial by FOIL

p(x)=x²-10x+4x-40 Combine like terms.

p(x)=x²-6x-40