WorksheetsPolynomial Functions Quiz
Total questions: 20
Worksheet time: 10mins
What is the degree of the polynomial function f(x) = 3x^4 - 2x^2 + 5?
4
5
2
3
Find the zeros of the polynomial function g(x) = x^2 - 4x + 4.
x = 3
x = -2
x = 2
x = 5
Graph the polynomial function h(x) = -2x^3 + 3x^2 - 6x + 1.
The function has no real roots
The function is a quadratic equation
The explanation provides the steps to graph the polynomial function h(x) = -2x^3 + 3x^2 - 6x + 1.
The function is linear
Determine the end behavior of the polynomial function p(x) = 4x^5 - 2x^3 + x.
As x approaches positive infinity, p(x) increases without bound. As x approaches negative infinity, p(x) decreases without bound.
As x approaches positive infinity, p(x) approaches a constant value. As x approaches negative infinity, p(x) approaches a constant value.
As x approaches positive infinity, p(x) oscillates between positive and negative values. As x approaches negative infinity, p(x) oscillates between positive and negative values.
As x approaches positive infinity, p(x) decreases without bound. As x approaches negative infinity, p(x) increases without bound.
Solve the equation x^2 - 9 = 0 for x.
x = ±2
x = ±4
x = ±5
x = ±3
Identify the degree of the polynomial function f(x) = -x^3 + 2x^2 - 4x + 7.
2
5
4
3
What are the zeros of the polynomial function g(x) = 2x^2 - 8x?
x = -4 and x = 2
x = 3 and x = 5
The zeros of the polynomial function g(x) = 2x^2 - 8x are x = 0 and x = 4.
x = 2 and x = 6
Sketch the graph of the polynomial function h(x) = x^4 - 4x^2 + 4.
The graph of h(x) = x^4 - 4x^2 + 4 has no x-intercepts.
The graph of h(x) = x^4 - 4x^2 + 4 is a straight line passing through the origin.
The graph of h(x) = x^4 - 4x^2 + 4 is a perfect circle.
The graph of h(x) = x^4 - 4x^2 + 4 resembles a 'W' shape, touching the x-axis at x = 0 and having a local minimum at (0, 4).
Explain the end behavior of the polynomial function p(x) = -3x^4 + 2x^2 - 5.
As x approaches negative infinity, p(x) approaches positive infinity. As x approaches positive infinity, p(x) approaches negative infinity.
As x approaches negative infinity, p(x) approaches negative infinity. As x approaches positive infinity, p(x) approaches positive infinity.
As x approaches negative infinity, p(x) approaches negative infinity. As x approaches positive infinity, p(x) approaches negative infinity.
As x approaches negative infinity, p(x) approaches zero. As x approaches positive infinity, p(x) approaches zero.
Find the solutions to the equation 2x^2 - 18 = 0.
x = ±9
x = ±3
x = ±6
x = ±12
What is the degree of the polynomial function f(x) = 5x^2 - x + 3?
6
4
2
3
Calculate the zeros of the polynomial function g(x) = x^2 - 6x + 9.
x = 5
x = 3
x = 4
x = 2
Plot the graph of the polynomial function h(x) = 4x^3 - 2x^2 + 3x - 1.
Find the derivative of the polynomial function
Solve for x in the polynomial equation
The answer is a detailed explanation on how to plot the graph of the given polynomial function.
Plot the graph of the exponential function
Discuss the end behavior of the polynomial function p(x) = x^4 - 2x^3 + 5x.
As x approaches positive infinity, p(x) approaches infinity. As x approaches negative infinity, p(x) approaches negative infinity.
As x approaches positive infinity, p(x) approaches a constant value.
As x approaches positive infinity, p(x) approaches negative infinity.
As x approaches negative infinity, p(x) approaches positive infinity.
Solve the equation 3x^2 - 12 = 0 for x.
x = ±5
x = ±2
x = ±4
x = ±3
Determine the degree of the polynomial function f(x) = 2x^4 - 3x^2 + 1.
4
5
3
2
What are the zeros of the polynomial function g(x) = x^2 - 5x + 6?
The zeros are x = 1 and x = 6
The zeros are x = -2 and x = -3
The zeros of the polynomial function g(x) = x^2 - 5x + 6 are x = 2 and x = 3.
The zeros are x = 4 and x = 5
Draw the graph of the polynomial function h(x) = -x^3 + 4x^2 - 3x + 2.
The graph of the polynomial function h(x) will be a straight line.
The graph of the polynomial function h(x) will have no x-intercepts.
The graph of the polynomial function h(x) will have a parabolic shape.
The graph of the polynomial function h(x) = -x^3 + 4x^2 - 3x + 2 will have a general shape of a cubic function with specific turning points and intercepts.
Predict the end behavior of the polynomial function p(x) = 2x^5 - 3x^3 + 4x.
As x approaches positive infinity, p(x) approaches zero. As x approaches negative infinity, p(x) approaches zero.
As x approaches positive infinity, p(x) approaches a constant value. As x approaches negative infinity, p(x) approaches a different constant value.
As x approaches positive infinity, p(x) approaches negative infinity. As x approaches negative infinity, p(x) approaches positive infinity.
As x approaches positive infinity, p(x) approaches positive infinity. As x approaches negative infinity, p(x) approaches negative infinity.
Solve the equation x^2 - 16 = 0 for x.
x = 2 or x = -2
x = 8 or x = -8
x = 5 or x = -5
x = 4 or x = -4
