28. f(x) = -31x + 1/2(x - 4)3 29. f(x)=x3 -2x2 +x 30. f(x)=x3 +4x2 +4x 31. f(x)=x3 +7x2 -4x-28 32. f(x)=x3 +5x2

Q: Show that the polynomial function f(x) = x3 - 2x - 5 has a real zero between 2 and 3.

A: since f(x) is a polynomial function so it is continuous at every point.

Q: The graph of a polynomial f(x) = (2x – 3)(æ – 4)(x + 3) has x-intercepts at 3 x values. What are…

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercepts take f(x)=0

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: In Exercises 15–18, use the Leading Coefficient Test to determine the end behavior of the graph of…

A: We’ll answer the first question ( that is 15) since the exact one wasn’t specified. Please submit a…

Q: Find the third degree polynomial function that has an output of 16 when x=2, and has zeros 1 and -2i

A: We have to find  a third degree polynomial function that has an output of 16 when x=2, and has zeros…

Q: What are all the zeros of the polynomial function fx)=x-2r-8r+10x+152 x- -1, x-3, x + V5 A x=1, x =…

A:

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: 10. Write a 3rd degree polynomial function with zeros: -4, 6i

A: Given: Zeroes of a polynomial which are -4, and 6i. The complex roots always lie in pairs, if one…

Q: 1.  Give a polynomial function that only has x intercepts of 2,4, and -1 with a y intercept of -24.

A:

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 1,-7,0,2 Leave your answer in…

A: The objective is to find the polynomial of degree 4. If a is the zero of any polynomial f(x), then…

Q: construct a polynomial function f with the given characteristics.     Zeros: - 4, - 1, 2; degree 3;…

A: zeroes of the polynomial are -4,-1,2 which means (x+4)(x+1)(x-2)are the factors of required…

Q: P(x) = (2x – 1)(x + 1)(x + 3) %3D

A:

Q: 1.The graphs of f(x) = (x+3)(x- 4) and g(x) = (x+ 3)(x- 4) Which graph represents which polynomial…

A: Given that:

Q: What is the smallest-degree polynomial that has at least one maximum and one minimum?

A: Consider a polynomial of degree 3. Consider that the derivative of a third degree polynomial is a…

Q: What is the least possible degree of the polynomial graphed above? %24

A:

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: If a is a zero and m is the multiplicity, we can write it as (x-a)m

Q: In Exercises 12–20, find all zeros of each polynomial function. Then graph the function. 12. f(x) =…

A: A zero of a polynomial f(x)=a0+a1x+....+anxn is the number a for which f(a)=0 that is,…

Q: 16. Use the Leading Coefficient Test to determine the end behavior of the polynomial function f(x) =…

A: Given the polynomial function f(x)=-6x3-2x2+3x+1. We need to use the leading co-efficient test to…

Q: 4 Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x* - 10x +4 has a real zero…

A: Given interval is -1 to 0 Use intermediate value theorem to show that polynomial has a real zero…

Q: 4. Describe the end behaviour of each polynomial function using the K degree and the leading…

A: As you asked for multiple subpart according to our guideline we give only first three of them.…

Q: Find a polynomial f (x) of degree 5 that has the following zeros. -7, 8, 6, -2, 4 Leave your answer…

A: As, f(x) has five zeros and they are -7, 8, 6, -2, 4, then f be of five degree polynomial.Therefore…

Q: Construct a polynomial function with the following properties: third degree, 4 is a zero of…

A: Given information: Third degree, 4 is a zero of multiplicity 2, -1 is the only other zero, leading…

Q: Determine whether the given statement is true or false :"There is more than one third-degree…

A: Given: Statement: "There is more than one third-degree polynomial function with the same three…

Q: sketch the polynomial function by finding all the critical values. g(x)=x4-4x3-15x2+58x-40

A: given, g(x)= x4-4x3-15x2+58x-40 we have to find the all critical values and sketch the polynomial…

Q: What is the least possible degree of the polynomial graphed above? 2

A: Consider the graph

Q: In Exercises 9–12, find a first- degree polynomial function P1 whose value and slope agree with the…

A:

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 0, 6, 4, -3 Leave your answer in…

A:

Q: Produce the quadratic polynomial interpolating the data {(-2, –15), (–1, –8), (0, –3)}. Find the…

A: We will find out the required equation of quadratic polynomial.

Q: 2 What is the least possible degree of the polynomial graphed above?

A:

Q: 8. Determine algebraically the polynomial function that passes through the points below.

A: Given,

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

A:

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 6, 4, -3 Leave your answer in…

A:

Q: Construct a polynomial function with the following properties: third degree, 2 is a zero of…

A: Given :  Polynomial is of degree 3. 2 is a zero of multiciplity 2. -1 is the other zero. Leading…

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial…

A:

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

A:

Q: Find a third degree polynomial function with zeros 3,-4, and -/-

A:

Q: P(x) 3 x³ (x + 2)(x – 3)²

A: Given polynomial function Px=x3x+2x-32. The main objective is to sketch the graph of this polynomial…

Q: The graph of polynomial function f(x)=a(x+1)^2(x−2) passes through point (0,2). Find the value of…

A: The graph of polynomial function f(x)=a(x+1)2(x−2)passes through point(0,2)

Q: Form the polynomial function that has the following real ZEROS: -6, -5, 3, 4 Section 3.1 O a4 + 4x -…

A: Explained below Proceed as shown...

Q: Find the quadratic polynomial whose graph goes through the points (-1, 3), (0, 1), and (1,7). f(x) =

A:

Q: -2. What is the least possible degree of the polynomial graphed above?

A: We have to find the degree of polynomial of given graph: We know that graph does change their curve…

Q: 1. Construct a polynomial function f(x) that might have the given graph shown. ( More than one…

A: For the given graph we, need to construct polynomial function fx

Q: Sketch a graph of any cubic polynomial functionthat has a negative leading coefficient and…

A: Consider a cubic polynomial P(x)=-2x3+3x2+11x-6 . This polynomial can be written in factored form as…

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

A:

Q: Find the third degree polynomial function that has zeros -10 and -12i, and a value of 1,776 when x=2

A:

Q: Use the graph to identify the formula for a polynomial function of least degree. y 5- 4- 2 1+ +►X -5…

A: 1. Identify the x-intercepts from the graph In the above graph the x intercepts are at x=-4 , x=-2…

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

A:

Q: Find a polynomial f(x) of degree 4 that has the following zeros: 4,-9,-5,0. Leave your answer in…

A: Find a polynomial f(x) of degree 4 that has the following zeros: 4,-9,-5,0. Leave your answer in…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.