Polynomials Unit Test Review

What are the roots of the polynomial equation x^4+x^=4x^2+4x? Use a graphing calculator and a system of equations.

-2, -1, 0, 2

What are the roots of the polynomial equation x^3-10=-3x^2=24? Use a graphing calculator and a system of equations.

-4, -2, 3

Which of the following is the complete list of roots for the polynomial function f(x) = (x^2+2x-15)(x^2+8x+17)?

-5, 3, -4 + i, -4 - i

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

10 centimeters

What is the quotient of (2x4 - 3x3 - 3x2 + 7x - 3) ÷ (x2 - 2x + 1)?

2x2 + x - 3

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

5 - 6i

If (x - 5) is a factor of f(x), which of the following must be true?

A root of f(x) is x = 5.

Which statement about 4x2 + 19x - 5 is true?

One of the factors is (x + 5).

Which statement best describes the equation x5 + x3 - 14 = 0?

The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

A student factors 15c2 + c - 28 to the following. (c + 2)(15c - 14)Which statement about (c + 2)(15c - 14) is true?

The expression is not equivalent, but it is completely factored.

A polynomial function has a root of -7 with multiplicity 2, a root of -1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

The graph of the function is positive on (-00, -7).

You can use a system of equations to graph and solve the polynomial equation . Which statement is true?

The y-coordinates of the solutions to the system and the zeroes of the equation are not equal.

What are the solutions of the equation x4 - 5x2 - 36 = 0? Use factoring to solve.

x = ±2i and x = ±3

What is the completely factored form of 6x2-13-5?

(2x - 5)(3x + 1)

One root of a third degree polynomial function f(x) is -5 + 2i. Which statement describes the number and nature of all roots for this function?

f(x) has two complex roots and one real root.