Answered: Find the x-intercepts of the polynomial…

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -x2(x + 3)(x2 - 1)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 31E: Find the zeros of each polynomial function and state the multiplicity of each. State whether the...

See similar textbooks

Related questions

Q: Find the zeros for the polynomial function and give the multiplicity for each zero. State whether…

A: The polynomial function is given as

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: When we have a polynomial function in the form; we test its behaviour with the leading coefficient…

Q: Determine the degree and the zeros of each polynomial function. g(x) = x (x+3)(x-3)

Q: Determine whether the function is a polynomial function. If it is, identify the degree.…

A: Here we have to determine whether the function is a polynomial function. h(x)=5x4+3x3+4x…

Q: f(x)=8x^2-x^3 find the x intercept of the polynomial function. state whether the graph crosses the…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

Q: Find the x-intercepts of the polynomial function. f(x) = x6 − 7x3 − 8 (x, f(x)) =…

A: given polynomial function is f(x)=x6-7x3-8 we have…

Q: Use a graphing utility with a viewing rectangle large enough to show end behavior to graph the…

A: fx=-x4+8x3+4x2+2 Here, Degree of given equation is 4 (even) and leading coefficient is -1…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: Here the degree of the given polynomial is 4, an even number and the leading coefficient is 5, a…

Q: Identify the end behavior of the polynomial function: h(x)- 2x-2x-9 h(x) is shown in the graph.

A: h(x)=2x4-2x-9 end behavior of the polynomial function isAs x→-∞ , h(x)→∞As x→∞ , h(x)→∞

Q: Sketch the graph of the polynomial function P(x)= (x +2)(x -1)(x - 3). Make sure your graph shows…

A: According to question, Given polynomial function,P(x) = x+2x-1x-3

Q: Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or…

A: f(x)=x2(x-1)(x-3) To find the x intercepts and the natire of graph at these points.

Q: Determine the degree and the zeros of each polynomial function. g(x) = x (x-6)

Q: Find the degree, and x and y intercepts of the polynomial P(x) = x ^ 3 + x ^ 2 - 2x . Sketch the…

Q: Use a graph to find all the solutions of the polynomial and sketch the graph. Solutions must be in…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Find the zeros for the polynomial function f(x) = -2(x - 1)(x + 2)2(x + 5)3 and give the…

Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = 2x(4x +…

A: The function is given by f(x) = 2x(4x+1)(x-6)

Q: Use a graphing utility with a viewing rectangle large enough to show end behavior to graph the…

A: The given function is fx=-x4+8x3+4x2+2. Turn on T1-83 calculator and set WINDOW as shown below.

Q: The end behavior of graph of the polynomial function f(x) = (x + 3) (x - 2)2 (x - 5) will be ______?…

A: "end behavior" The end behavior of a function f describes the behavior of the graph of the…

Q: Use a graphing calculator to find the coordinates of the turning point of the graph of the…

A: Here we have to use the graphing calculator

Q: Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or…

Q: Use a graphing utility with a viewing rectangle large enough to show end behavior to graph the…

A: Given function is fx=-2x3+6x2+3x-1.

Q: What is the y-intercept of the polynomial f(x) defined below? Write the y-value only. f(x) = -6 – x³…

Q: Examine the leading term of the function P(x)=-2x³ + 3x² – 5x+3. Determine the far-left and far-righ…

A: The nth order polynomial is represented as p(x)=axn+⋯+bx+c. Here, a is called the leading…

Q: Find the zeros for the polynomial function f(x) = 2(x - 5)(x + 4)2 and give the multiplicity for…

A: The given equation is fx=2x-5x+42.

Q: Determine the degree and the zeros of each polynomial function. g(x)= x(x-6) (2x-3)

A: The given polynomial function is g(x)=x(x-6)(2x-3)…

Q: Find the x-intercepts and describe the behavior of the graph of the polynomial function at the…

Q: Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: Consider the following polynomial function: fx=-5x4+7x2-x+9 Degree of the polynomial is 4 which is…

Q: Find the zeros for the polynomial function f(x) = x3 + 5x2 - 9x - 45 and give the multiplicity for…

A: Given: f(x)=x3+5x2-9x-45 1) Find the zeroes of f(x)=x3+5x2-9x-45…

Q: Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or…

Q: Find the zeros for the polynomial function and give the multiplicity for the zero. State whether the…

A: fx=-3x+12x-43 To find zeros, put fx=0, we get -3x+12x-43=0⇒x+12=0 or x-43=0⇒x=-12 or x=4…

Q: Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: Given, f(x)=5x3+7x2-x+9

Q: Find the zeros for the polynomial function and give the multiplicity for each zero at each zero.…

A: We will factor f(x) using the factor by grouping

Q: Find the x-intercepts of the polynomial function. f(x) = x6 − 63x3 − 64 (x, f(x)) =…

Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits…

A: Given polynomial function is, Px=x+2x+122x-3. Here, the x-intercept of the polynomial is,…

Q: Find the zeros for the polynomial function f(x) = 4(x - 3)(x + 6)3 and give the multiplicity for…

A: fx=4x-3x+63 Now, fx=0⇒4x-3x+63=0⇒x-3=0 or x+63=0⇒x=3 or x=-6 Therefore zeros are x=3 with…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: Consider the provided function, fx=-11x4-6x2+x+3 Use the Leading Coefficient Test to determine the…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: The given polynomial is f(x)=11x3-6x2+x+3 Leading Coefficient Test:-

Q: Factor the polynomial function and sketch its graph. f(x)%3Dx+-4x3+4x?

A: Factor and graph of polynomial

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial…

A: fx=11x3-6x2+x+3

Q: Based on the end behavior of the graph of polynomial functions, what best describes the leading…

A: Leading term is x3. Leading coefficient is -4

Q: The graph of the polynomial function y () is shown. umusm As x -00, f(x) o and as x o, f(x) → oo.…

A: A graph

Q: Use a graphing utility with a viewing rectangle large enough to show end behavior to graph the…

A: The given polynomial function: f(x) = -2x3 + 6x2 +…

Question

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

f(x) = -x²(x + 3)(x² - 1)

Expert Solution