Write a polynomial function of least degree with rational coefficients so that ​P(x)=0 has the given roots. x=−11​, x=6

Question

P(x)=
(Type an expression using x as the variable. Do not factor.)

Answer 1

If P(x) has the roots -11 and 6, then its multipliers can be written as

P(x)=(x+11)(x-6)

P(x)=x²-6x+11x-66

P(x) = x²+5x-66