In the “Proving Grounds” Quiz 1 #5, this question is given: p(x) = ax^2 + bx + c q(x) = ax^2 + bx + d The functions p(x) and q(x) are defined above, and a, b, c, and d are constants. If x – 3 is a factor of p(x) and d is 8 greater than c, what is the remainder when q(x) is divided by x – 3? In your answer explanation, you state: “…We know that, as a general rule, the remainder when a polynomial f(x) is divided by x – a is f(a).” Can you explain this further?

The country hall charges a rental fee of $1000 and at least $3000 for food. Olivia is planning a class reunion. If she had chosen a buffet that costs $38.56 per person what is the minimum possible number of people who must attend to support the expense?

there are 50 questions on a quiz given to a class of a students. Only 20% of the class answered all the questions on the quiz. Of the remaining students, half answered two-fifths of the questions and the other half answered three-fifths. What was the average number of questions answered on this quiz?

27/5,9/5,3/5
38.In the sequence above, each term after the first is equal to 1/3 of the term immediately before it. what is the value of the first term in the sequence that is less than 1/20.