2. Write an equation and sketch a graph of a polynomial function that has 3 roots, 2 with even multiplicities, and that has end behavior f (x) → 0o as x -→ -0o and f(x) = -00 as x → o. Note: You can check your answer using Desmos.

Q: 2.If a third degree polynomial has a lone x-intercept at x=a,discuss what this implies about the…

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Q: 1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x +…

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Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: 40. Determine an equation of a polynomial function with zeros at x = 2, –2, 1, and y-intercept of…

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Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (a) (x…

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Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (g) 1(r…

A: see below the answer y-intercept is calculate y when x=0 And the y=intercept and roots of the…

Q: The cubic polynomial shown below has zeroes only at x= -3 and x = 5 and passes through the point (2,…

A: To find y value

Q: Construct a polynomial function that might have the given graph. 2 -2+ --... Which of the following…

A: Solution:-                   Steps                       from the graph we Can see it have zero…

Q: Construct the polynomial function, f(x), with the following characteristics:degree: 4zeros (i.e.…

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Q: In Problem,construct a polynomial function f with the given characteristics.

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Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (G)…

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Q: The sum of coefficients of the polynomial f(x) is equal to 2 and the sum of coefficients in even…

A: A polynomial f(x) can be represented by f(x)=a0xn+a1xn-1+...+an-2x2+an-1x+an where…

Q: 2. If a third degree polynomial has a lone x-intercept at x = a , discuss what this implies about…

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Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We will find the equation of cubic polynomial as following.

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as : n…

A: Since 1 and i are the zeroes of the polynomial, therefore

Q: Which polynomial function has a y-intercept at y = 8 and an x-intercept at X = 2? f (x) = 2x3- 3x? -…

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Q: 3. If any of the linear factors of a polynomial function are squared, then which of the following is…

A: In this question, we have to find the correct option for the given statement as If any of the linear…

Q: Given the polynomial function y = A x^3 + 6x^2- Bx , where A and B are unknown constants. If…

A: Given, y=Ax3+6x2-Bx, where A and B are unknown constants.

Q: 2. If a third degree polynomial has a lone x-intercept at x=a, discuss what this implies about…

A: The x-intercept of a function is the point at which the function touches the x-axis. That is the…

Q: In  the given question as follows , find a firstdegree polynomial function P1 whose value and slope…

A: Given that, f(x) = 6x3 c = 8   f(c) = f(8) = 683 = 62 = 3 f(x) = 6x3 f'(x) = 6 ddx1x3f'(x) = 6…

Q: The graph of a polynomial function will appear to bounce off the x-axis at zeros that are of an even…

A: Given: y=(x – 3)2(x + 5)3 at x=3 To check: The graph of a polynomial function will appear to bounce…

Q: How does the linear factorization of f(x), that is, AX)=an (x-c1)(x-c2) (x-C). show that a…

A: Here the linear factorization of the function f(x) is given as:…

Q: Find an equation of the cubic polynomial f(x) = ax3 + bx2 + cx + d that passes through the given…

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Q: 4. The possible equation of polynomial function for the following graph is a) f(x) - (х-2)(х+3)(x-5)…

A: Graph of the polynomial function is given, we have to find its equation. Note: Multiple questions…

Q: 1. a) Create an equation for a polynomial function, P(x), of degree 3 or higher, in factored form…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: find the polynomial function p(x) of degree 3 with real coefficients that satisifies the given…

A: The zeros of the polynomial are given by r1=-6r2=1r3=0 The value of the polynomial function at x=-2…

Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

Q: 2, Determine the equation of the polynomial function y = f(x) shown II Express your answer in…

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Q: 27. Show that the third differences of a polynomial function of degree 3 are nonzero and constant.…

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Q: Consider a hypothetical cell phone company whose cost to manufacture x number of cell phones is C =…

A: NOTE: Refresh your page if you can't see any equations. . here cost function is  and the revenue…

Q: 19. Determine the x-intercept(s) of the polynomial function y = -3(x+8)° – 24. Justify your answer…

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Q: Explain in in words how to solve the 2 question 1) If a third-degree polynomial has a lone…

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Q: (4) Suppose the coefficients of the cubic polynomial p(x) = a + bx + cx² + dx³ satisfy the equation…

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Q: C) Find a polynomial of degree 2 that has two irrational zeros

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Q: 2. Consider the polynomial function f(x) =x*+6x³ - 3x² - 96x – 208 . a. How many linear factors does…

A: The number of linear factors of f(x) = the degree of  f(x).

Q: Find an 4th degree polynomial function with real coefficients whose zeros are 4,–1,2, v2i and a…

A: Here degree of polynomial is 4 so it has 4 roots.

Q: 4. Consider the polynomial f(x) 1234(x + 5)²(x² + 4)(x³ + 8). (a) What is the degree of f? How can…

A: Given f(x)=1234x+52x2+4x3+8

Q: 1. State the degree, leading cocfficient, and end behaviours of cach polynomial function. a) f(x) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes…

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Q: 1. Determine the question of the polynomial function that has zeros at x =- 5 (order 2), x=-1 andx 4…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given condition n = 3;…

A: Our Aim is to find an nth-degree polynomial function with real coefficients satisfying the given…

Q: 2. If the result of a polynomial division is 2x – 4x? – 5x +z. make at least three definitive…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: the cubic polynomial shown below has zeros at x= -4 and x=2 only has a relative maximum at (-2,8).…

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Q: Complete the table below. Leading Coefficient Sketch of the graph Polynomial Function Degree…

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Q: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17.  In addition, f(x) has the…

A: Given that

Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: Determine algebraically the ?-value of the cubic polynomial function that has zeros at 3, 4, and −4…

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Q: a) f(x)=-x- 13x²+3x – 9 Туре of polynomial Degree Sign of leading End behaviours Domain сoefficient

A: given that f(x)=-14x3-13x2+3x-9