Polynomial Functions and Equations- Unit Test Review

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

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

Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?

B) one

Carlos graphs the equations y=-1/2x^2+4 and y=-1/2x^2-2x+2 and generates the graph below. Which conclusion is supported by the graph?

B) the equation has one real solution

What is the end behavior of the graph of the polynomial function f(x) = -x^5 + 9x^4 - 18x^3?

C)

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

C) -4, -2, 3

What is the ninth term in the binomial expansion of (x - 2y)13?

329,472x^5y^8

Which statement about the simplified binomial expansion of (a + b^2)^n, where n is a positive integer, is true?

A) the exponent of b will always be even

Brian is solving an equation where both sides are quadratic expressions. He sets the expressions equal to y. Then he graphs the system finding that the two graphs share a common vertex, but one graph opens upward and the other opens downward. How should Brian interpret this outcome?

A) there is exactly one intersecting point

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

B) -5, 3, -4+i, -4-i

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

C) y=4x^2 y=x^2+7

What are the coefficients for the binomial expansion of (a + b)3?

D) 1, 3, 3, 1

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

D) 27x3 + 54x2y + 36xy2 + 8y3

Which is the polynomial function of lowest degree with leading coefficient of 4 and roots *square root of 7 and 3?

D) f(x)=4x^3-12x^2-28x+84

The polynomial function f(x) = 3x^5 - 2x^2 + 7x models the motion of a roller coaster. The roots of the function represent when the roller coaster is at ground level. Which answer choice represents all potential values of when the roller coaster is at ground level? Begin by factoring x to create a constant term.

b)

Which polynomial function has a leading coefficient of 1 and roots *square root of 2 and *negative square root of 3 with multiplicity 1?

d