Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in expanded form).

If then complex number is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated is also a root of polynomial.

Then the polynomial will be of a form

Since then

Therefore,

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.