Answer
See below.
Work Step by Step
1. Let the polynomial be $p(x)=r_nx^n+r_{n-1}x^{n-1}+...+r_1x+r_0$ where $r_n ... r_0$ are rational numbers.
2. Since $p(c)=0$, we have $p(c)=r_nc^n+r_{n-1}c^{n-1}+...+r_1c+r_0=0$
3. Use a similar procedure as in the previous exercise, we can find integers $m_n... m_0$ such that $m_nc^n+m_{n-1}c^{n-1}+...+m_1c+m_0=0$
4. Thus, $c$ is a root of a polynomial with integer coefficients.
