Question

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

X=-1 X=7

Answer 1

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

Explanation:

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

P(x)=x2-6x+11x-66

P(x) = x2+5x-66