Consider the polynomial p (x) = x ^ 3 - 7x - 40. Evaluate p (5) and p (-3). What can we predict about the behavior of the function in one of the x-intercepts of p (x)?

Q: Explain how to use the Leading Coefficient Test to determine the endbehavior of a polynomial…

A:

Q: Determine an equation in fortored form for a polynomial function with zeros x=-3 (order 2) and x = 2…

A: We have to determine an equation in factored form for a polynomial function with zeros: x=-3 order 2…

Q: sketch the polynomial function by finding all critical values. f(x)=x4-x3-20x2

A: Consider the function: fx=x4-x3-20x2 Differentiate the given function with respect to “x” then,…

Q: A simplified polynomial that has exactly one term is called a/an__________ .

A: A polynomial that has exactly only one non-zero term is called a monomial. Also, each term of the…

Q: find an equation for a polynomial with long run behavior g(x)=-x^4 whose only intercepts are (-5,0),…

A: intercepts are  (-5, 0) , (5, 0) , (2, 0) and (0, 2)  g(x) has degree of 4    Let,  g(x)  =  ax4 +…

Q: It is possible for a third-degree polynomial function with integer coefficients to have no real…

A: To find whether the statement is true or false  Given, a polynomial of degree 3 with integer…

Q: Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x= 2.

A:

Q: 5. Give an example of a 4th-degree polynomial function, P(x), whose graph on a Cartesian coordinate…

A: Clearly it has been specified that the function should not have any X-axis intercept which is…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A:

Q: When a polynomial function f is divided by x - c, theremainder is_______

A: Give a polynomial function f is divided by x - c

Q: What is a polynomial function?

A: To Explain: what is a polynomial function

Q: A herd of 100 elk is introduced to a small island. The number of elk, f(x), after x years is modeled…

A: Here given polynomial function as fx=-x4+21x2+100 or it can be written as fx=-x22+21x2+100 Thus it…

Q: How do I find a polynomial function with given zeros and multiplicities?

A:

Q: Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real…

A: Given: hx=13x3x-42  ……1

Q: Which polynomial function would have the end behaviour of as x →to, y →o?

A:

Q: determine the roots and the end behavior of the polynomial f(x) = (x-2)2 (x-1) be sure to explain…

A: We have to determine the roots and the end behavior of the polynomial  f(x) = (x - 2)2 (x - 1)

Q: P(x) = (2x – 1)(x + 1)(x + 3) %3D

A:

Q: A simplified polynomial that has three terms is called a/an

A: A simplified polynomial that has three terms is called a/an________

Q: find a polynomial of degree 4 with zeros -6,-1,0, and 3.

A:

Q: What degree polynomial is g(7) (x) for the function g (x) + 4x19 you know? (You don't have to…

A:

Q: If a house is purchased for $106,000 and is expected to appreciate $900 per year, its value y after…

A: Given that a house is purchased for 106,000 dollars and is expected to appreciate 900 dollar per…

Q: What is a polynomial in x?

A: The x happening in a polynomial is generally referred to as a variable or an indeterminate. When the…

Q: Graph the polynomial function f(x)--(x + 1)(x - 1) (x - 3)²

A: Given: polynomial function f(x)=-(x+1)(x-1)2(x-3)2. To be find: graph the polynomial function.…

Q: A rectangular field is twice as long as its width. If 3 feet are taken from the width, and 4 feet…

A:

Q: Explain why a polynomial with real coefficients of degree 3 must have at least one real zero.

A: Given, A 3rd degree polynomial with real coefficients. Since the given polynomial is of degree 3,…

Q: If a house is purchased for $106,000 and is expected to appreciate $900 per year, its value y after…

A: The expected value of the house after 10 years is 115000.

Q: Explain how to use the Leading Coefficient Test to determine the end behavior of a polynomial…

A: case (1) When n is odd and an  is positive. Then the graph is falls to the left and rises to the…

Q: In the given equation as follows, determine whether the statement is true or false. If it is false,…

A: If a polynomial has three x-intercepts then there must be three intervals for which the function…

Q: A simplified polynomial that has exactly one term is called a/an

A: Given: A simplified polynomial that has exactly one term is called a/an ......... Concept Used: A…

Q: What are the zeros of a polynomial function and how are they found?

A: Let f(x)=anxn+an-1xn-1+⋯+a3x3+a2x2+a1x+a0  be a polynomial of degree n. A root or a zero of a…

Q: What is meant by the end behavior of a polynomial function? Explain.

A:

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: We have to find

Q: A polynomial function with leading term 9x^2 has degree....

A: We have to tell the degree of polynomial function with leading term 9x2

Q: 4. Explain and show all the possible number of x-intercepts (zeros) for a polynomial function with a…

A: Given: A polynomial function of degree 3.

Q: The common cold is caused by a rhinovirus. After x days of invasion by the viral particles, the…

A: Given: f(x)=-0.75x4+3x3+5 The leading coefficient of the function f(x)=-0.75x4+3x3+5 is -0.75…

Q: A simplified polynomial that has three terms is called a/an___________.

A: A simplified polynomial that has three terms is called a/an................

Q: There is more than one third-degree polynomial function with the same three x-intercepts.Determine…

A: To check given statement There is more than one third-degree polynomial function with the same three…

Q: 4. Determine a possible equation for the polynomial function that corresponds to this graph.

A: Let's Solve,

Q: Create a polynomial function whose degree is 4, the leading coefficient is odd and the constant term…

A: Polynomial function: A  function which consist of positive power of the variable or non-negative…

Q: Please help me find the polynomial function with the following zeros x= -4, x= 5, x=3, x=2

A: The polynomial is

Q: Determine Number of Zeroes Num of the Polynomial function: F(x)=x²₁²-9x Zero (5)

A: We have to find zeros

Q: 5) Write a rule for the 6th degree polynomial 8(x) pictured at right, whose only roots are -5, -2,…

A:

Q: Find the polynomial function with real coefficients 3, -1 with multiplicity of 2 and -i. Rewrite in…

A: If x=3 is a zero then (x-3) is a factor. If x=-1 is a zero then (x+1) is a factor. It has…

Q: Which polynomial function gets larger and larger in the negative direction as x gets larger and…

A: Find value of function as x→-∞

Q: Find the general polynomial function of lowest possible degree with real number coefficients that…

A:

Q: When graphing a polynomial function, how do I determine the location of its turning points?

A: The graph of a polynomial function changes direction at its turning points. A polynomial function of…

Q: If f is a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a and…

A: If we consider geometric interpretation of f, then it be more easier. (I)   As f(a) and f(b) have…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.