What will be the degree of Lagrange interpolating polynomial given the following data; "Solve using excel:"

Q: Solve the following cubic polynomial P(x)=x³-11x²+39x+45

A: Given: To solve the following cubic polynomial P(x)=x3-11x2+39x+45

Q: A projectile is fired from ground level such that its height, h, as a function of time, 1, is given…

A: Given  h=-16t2+80t We have to write this equation in factored form.

Q: Find the LCM of the given polynomial. x3 - x,  x3 - 2x2 + x,   x3 - 1

A: Given: x3-x,x3-2x2,x3-1

Q: Solve the following polynomial. X4 - x2 -28= 0

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Q: In  the given equation as follows , find the nth Maclaurin polynomial for the function:- see the…

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Q: Determine if x-2 is a factor of 3x - 5x2 + x + 8. Explain your response. Format - Font - Size BIUS…

A: let the given polynomial is p(x)= 3x3-5x2+x+8we need to determine   x-2 is factor or not

Q: Find the LCM of the given polynomial. x2 - 4,   x2 - x - 2

A: we have to find the LCM of the given Polynomial  f(x)=x2-4p(x)=x2-x-2

Q: Complete the following tabel by stating whether the polynomial is a monomial, binomial, or…

A: Type: A monomial has just one term. Given term is , 12x7 .Remember that a term contains both the…

Q: Find the roots of the factored polynomial. (x - 9)? Write your answer as a list of values separated…

A:

Q: Find the polynomial of the specified degree whose graph is shown. Degree 3 P(x) =

A: The graph cuts the x axis at x=-1  So at x=-1 it has multiplicity 1 So, (x+1) will be a factor of…

Q: Based on the data set below, find the interpolation value for x=2.5 from a fourth degree…

A: Given,   x 0 1 2 3 4 y 1 1 9 61 205

Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: What is a polynomialfunction in degree 1

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Q: If r is a solution to the equation f(x)=0               , name three additional statements that can…

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Q: . Find the polynomial of degree three for the following data using excel. Also find P(-2). X 0 1 |4…

A: We will find out the required value.

Q: Find the critical points, A and B, of the following polynomial (with A < B). f(x) = 4x° – 588x – 6 -…

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Q: f(x) = 2x³ – 2x – 5

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Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: We have to find the quartic equation represented by the given graph.

Q: solve the following polynomial

A: In this question we will use basic of algebra i.e solutions of quadratic equation by using quadratic…

Q: How  many roots does the polynomial have?

A: NOTE: Refresh your page if you can't see any equations. . to find the roots, take P=0

Q: Given the function b(x)=evcosx+x, what is the approximated value of b(0.20)? Solve by utilizing the…

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Q: Find the LCM of the given polynomial. x - 3,   x2 + 3x,    x3 - 9x

A: Given polynomial: x-3x2+3xx3-9x

Q: The function x- 2r-6x+22x – 15=0 has how many roots?

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Q: 11x2 - 2x X- 2

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Q: The degree of precision of a quadrature formula whose error term is : f) is 2 1

A: Since it is multiple question. As per our company guidelines we have to solve the first question.…

Q: Obtain the roots of the following equation using the method of double synthetic division:

A: Since the coefficient and constants are not integers, so we have to find one solution using the…

Q: The degree of precision of a quadrature formula whose error term is : f(®) (5) is

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Q: Find a formula for the polynomial of least degree that is graphed below.

A: Given: To Find: The formula for the least degree of the above graph.

Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

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Q: Find the degree and leading coefficient for the given polynomial.

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Q: Complete the following tabel by stating whether the polynomial is a monomial, binomial, or…

A: Given that, the Radical expression 13 To write the Radical expression into Exponential expression

Q: 4. Is (x + 1) a factor of x*- 1?

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Q: Use Lagrange interpolation formula to find a polynomial to the following data and determine f (3)…

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Q: f(x) = -5x6 + 8X5 + 9X4 -10X3 +2X2 -22X +45

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: The degree of precision of a quadrature formula whose error term is : f(® (3) is

A: I am solving this in step 2

Q: Find the roots and their multiplicities of the function by factoring: Y=3x^4+x^3+12x^2

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Q: Find the LCM of the given polynomial. x3 - x,    x2 - x

A: To find the LCM of given polynomial: x3-x,x2-x. Solution: x3-x=x(x2-1)⇒x3-x=x(x+1)(x-1)…

Q: Graph and determine how many roots f(x) = -2^2 +2x-1

A: Answer and explanation is given below

Q: Use Descartes rule of signs to determine how many positive solutions and how many negative solutions…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What is the formula for w(x), the node polynomial?

A: Node Polynomial: Let f (X) be a function on the interval [a, b] and n nodes are chosen on the…

Q: Find a forth degree polynomial that has the zeros 3, -2, i.

A: Explanation and Solution is given below....

Q: QUESTION 3 Determine the maximum value of -x2 + 4x + 45

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Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

A: To check whether a given quadratic equation can be factorized, we first need to check the…

Q: If q(x)=0.6x33x and a=3, what is q′(a) to the nearest tenth? (Do not include "q′(3)=" in your…

A: Firstly, we find the derivative of q(x) by using product rule of differentiation which states that…

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: Find the interpolating polynomial for the following data by Newton's Divided Difference Fonmula. - 2…

A: table for x and y x -2 -1 0 1 2 y -1 3 1 -1 3

Q: (b) Fit a second degree polynomial to the following data : Year : 1882 1883 1884 1885 1886 1887 1888…

A: Simply first make the table then find the value of a, b, c from 3 equation then put it in final…

Q: Find the area of the square generated by connecting consecutive roots of the polynomial p(z) = z^4…

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Q: determine if the statement is true or false. If a statement is false, explain whyThe sum of two…

A: Given:The sum of two polynomials each of degree 5 will be less thanor equal to degree 5