The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary.
First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48: We know there is one real root, the x-intercept. Since it's a third degree polynomial, there are three complex roots in total. Therefore, there is one real root and two imaginary roots. Answer is B
Second question: You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra: There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots.
$55 is constant because for each trip he will take $55 dollars so that gives you your y-intercept and m=$30 and x is the amount of hours worked. every time x increases he will be making more money
