Question 6
We know that $p(x)$ is a monic polynomial of degree $5$. We also know that the solutions of $p(x)=0$ are exactly $x=0,1,2,4$. Determine the greatest possible coefficient of the linear term.
Note: a polynomial is monic if the coefficient of its highest-degree term (here, the fifth-degree term) is $1$.
(A) $-32$; (B) $16$; (C) $32$; (D) $64$; (E) It can be arbitrarily large.
Note: a polynomial is monic if the coefficient of its highest-degree term (here, the fifth-degree term) is $1$.
(A) $-32$; (B) $16$; (C) $32$; (D) $64$; (E) It can be arbitrarily large.