Question

Write a polynomial function with rational coefficients so that P(x)=0 has the given roots. -9 and -15

Answer 1

I think I figured it out!

(x+9)(x+15)
x^2+24x+135

Answer 2

\(\bf -9, -15\quad meaning\\ \quad \\
x=-9\implies x+9=0\implies (x+9)=0\\ \quad \\
x=-15\implies x+15=0\implies (x+15)=0\\ \quad \\
P(x)=0\implies (x+9)(x+15)=0\)

Answer 3

yeap :)

Answer 4

Thank you! I understood it as soon as I posted this question. :)