2. Use finite differences to determine the degree and leading coefficient of the polynomial represented in the table of value. Show your work. 98 25 1 1 1 27 3. 100 2.

Q: Write a possible function for the polynomial shown: 3- 2- 1+ -2 -1 -1+ -5 -4 4 6. 72 3- 4-

A: Since given polynomial has zeros as x=-3,2,2,5 Therefore, possible function can be

Q: he data in the table can be perfectly modeled by a polynomial with degree n. What is the value of n?…

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Q: Describe the end behavior of the polynomial described: 1.)y = ax3, α>0 2.) y = ax*, a 0 %3D 4.) у…

A: Consider the first equation: y=ax3, a>0 Degree of equation is 3 which is odd. Leading…

Q: Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simplify…

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Q: 4.1 POLYNOMIAL INTERPOLATION 133 8. Using (4.6), find the polynomial P2(x) that interpolates the…

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Q: Find y(4.5) if a second-degree polynomial is fitted to the following data: (1, 1.1), (1.5, 1.3), (2,…

A: x y 1 1.1 1.5 1.3 2 1.6 2.5 2 3 2.7 3.5 3.4 4 4.1 We need to find the second degree…

Q: Find the polynomial of the lowest possible degree which zssume s the values 3, 12, 15, -21 when x…

A: The interpolation techniques are used to establish the functional relationship between any two…

Q: What are the zeros of the polynomial graphed below? 40 35 30. 25 20 15 10 f(x) -10-9-8 9 10 -10. -15…

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Q: Describe the characteristics of the following polynomial (This means label the intervals) 5) f(x) =…

A: I am attaching image so that you understand each and every step.

Q: Complete the table. Kind of Polynomial according to number of Leading Leading Coefficinet Degreel…

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Q: find the  t-intercepts of the polynomial functions: C(t)=3(t+2)(t−3)(t+5)

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Q: + 2 10 The expression represents a polynomial with terms. The constant term is the leading term is…

A: Consider the given polynomial: 110x3+2 As the expression has highest power of three. hence it is…

Q: Use finite differences to determine the degree of the polynomial that best describes the data: y…

A: In such questions, we check the differences of x and y. Here, x is increasing by 1. Now, we check…

Q: Use finite differences to determine the degree of the polynomial that best describes the data: y…

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Q: Determine whether the expression is a polynomial or not. A) Polynomial B) NOT a polynomial 7. 2x -x…

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Q: A constant temperature, pressure-volume thermodynamic process has the following data: Pressure 420…

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Q: Give the degree and leading coefficient of the following polynomial function. f (2) = 25 (5 – 724 –…

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Q: Following is the graph of a polynomial function. Give the possible values for the degree of the…

A: Graph of the polynomial function is given , we have identify its degree and leading coefficient.

Q: Give the data a) Approsimate the value of f(22) ming Lagrange Method polynomial of onder 2 b) By…

A: Let x0=0x1=1x2=2x3=3fx0=10fx1=8fx2=8fx3=-8

Q: Use finite differences to determine the degree of the polynomial that best describes the data: -5 37…

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Q: ***PLEASE HELP WITH THE FOLLOWING AND PLEASE PROVIDE HANDWRITTEN WORK ON PAPER*** (7) Determine the…

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 6 1 4 9 7 Y 2 8 3 4 -1 8 4

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Q: Find a polynomial function that has the given zeros.3, 2 + √7, 2 − √7

A: If a polynomial function f(x) has zeroes a,b,c then it is of the form f(x)=(x-a)(x-b)(x-c). To find…

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 9 Y 8. 4 -1 8 4 6 6…

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Q: Answer the questions about the following polynomial. -10x + 1 The expression represents a polynomial…

A: We have to write about the given polynomial.

Q: Find y(5) if a second-degree polynomial is fitted to the data points (1, 4), (2, 6), (3, 9), (4,…

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Q: Write the interpolating polynomial f(x) that passes through the points: x0 |y | 3 6 4 4 2 10 1 (a)…

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Q: 5. Find the best fit by a first degree polynomial for the following data: x -3 -1 0 2 y 8 5 4 1

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Q: Construct a polynomial from the data (1,4),(3,14)(5,19),(7,21),(4,23),(11,21) and also find…

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Q: Consider the algebraic expression 3 – 15x*. What is the degree of this polynomial? Identify the…

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Q: Write a polynomial function in factored form with a leacing coefficient of-1 vith zeros U,-2,3,5.

A: Given: Least co-efficient =-1 zeros=0,-2,3,5

Q: 12. Explain how to find the degree of a polynomial

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Q: Use differences to determine the polynomial function for the given data: f(x) -5 -6 -1 3. 10 27 4)

A: First find the differences D1 between the points in fx and check whether it is a constant. If yes,…

Q: For the given data in the table below, find the polynomial of minimum degree which fits the data? -3…

A: By using excel we will fit the best polynomial which can give best r^2 value. Answer : 4th degree…

Q: Graph the family of polynomials in the same viewing rectangle, using the given value of c. Explain…

A: To graph: the family of polynomials for the function P(x)=cx3 for the value of c=1, 2, 5, 12 in the…

Q: Use finite differences to determine the degree of the polynomial that best describes the data: y.…

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Q: Graph the family of polynomials in the same viewing rectangle, using the given value of c. Explain…

A: Graph the family of polynomials in the same viewing rectangle, using the given value of c. Explain…

Q: Use the written statement to construct a polynomial function that represents the required…

A: Let's find.

Q: Write an expression in factored form for the polynomial of least poss 5+ 3 W 1 2 3 4 5 -2+ -3 -5 -4…

A: We have to write the polynomial in factor form from the given graph of polynomial

Q: Construct the difference table and find the polynomial that fits the set of points (0, 5), (1, 6),…

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 7 Y 2 8 3 4 -1 8 4

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Q: +2 10 The expression represents a polynomial with terms. The constant term is the leading term is…

A: Given: The given equation of polynomial is 110x3+2 Since the highest degree of the polynomial…

Q: Find the polynomial that fits the set of points given below 66 10 А) X3 — 0.5х2+ 6 B) X3 + 2 С) X —…

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Q: The graph of the polynomial 9(a) = k(z – a)" (x – b)" r" (x – c)" is shown below. Determine whether…

A: 1. If exponent of the factor (x-a) is odd, then the function crosses the x-axis at x = a.2. If…

Q: Based on below data set, the highest degree of polynomial that can be obtained is degree 2 4 5 8 10…

A: To solve a equation of n variables we need necessarily n data points Now lets consider a polynomial…

Q: 3. f (x) 1 1,5709 4 1,5727 6 1,5751 a. Complete the divided difference table for the data and…

A: The given table is, Since the given intervals (1,  4,  6) are unequal, so making a divided…

Q: Use finite differences to determine the degree of the polynomial that best describes the data: y -5…

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Q: Apply Lagrange's interpolation formula to find the interpolating polynomial for the following data:…

A: Given data: x 1 2 3 5 f(x) 0 7 26 124 x0=1;  f(x0)=0x1=2;  f(x1)=7x2=3;  f(x2)=26x3=5;…

Q: Graph the family of polynomials in the same viewing rectangle, using the given value of c. Explain…

A: P(x) = (x - c)4;  c = -1, 0, 1, 2

Q: 33. Construct the divided difference table for the data f(2) = 1, f(3) = 10, f(5) = 76, f(6) = 145.…

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