Unit Test — Unit test Answers

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

Which statement describes the graph of this polynomial function?

The graphs of two polynomial equations do not intersect. Kelly concludes that the system has no solution. Which statement best explains why Kelly’s reasoning is correct or incorrect?

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?

Which polynomial function has a leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1?

What is the sum of the first seven terms of the geometric series?3 + 12 + 48 + 192 + ...

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

If (x – 2k) is a factor of f(x), which of the following must be true?

Which geometric series converges?

If f(–2) = 0, what are all the factors of the function ? Use the Remainder Theorem.

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?

Let a, b, and c be real numbers where a b c 0. Which of the following functions could represent the graph below?

Carlos graphed the system of equations that can be used to solve .What are the roots of the polynomial equation?

The polynomial function is graphed below.Which is a potential rational root of f(x) at point P?

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots and 2?

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

Which of the following describes the roots of the polynomial function ?

The price that a company charged for a basketball hoop is given by the equation where x is the number of hoops that are produced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit?