The given points lie on a polynomial. Use Newton’s divided-difference to determine the polynomial.

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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Q: use the numbers (nodes) x0 = 2, x1 = 2.75, x2 = 4 Lagrange of the function 1 / x find the second…

A: In the given question, concept of Lagrange Polynomial is applied. Lagrange Polynomial The Lagrange…

Q: find the real roots of f(x)=2x^3 - 11x^2 + 2x + 15 and use them to show f(x) in factored form.

A: Roots of f(x) is given below...

Q: If x+3 is a factor of P(x)=3x^3+5x^2-11x+3, find the roots of P(x)

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Q: determine whether  the following numbers are roots of the polynomial equation P(x) = 0, P(x) =2x^3 -…

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Q: Write the polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

A: I am going to solve the given problem by using some simple algebra  to get the required result.

Q: Consider 2x3+3x2-x+7=0 where α, β, γ are roots.  Find α2β+β2α+γ2β+β2γ+α2γ+γ2α

A: Given, 2x3+3x2-x+7=0

Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: Using MOSS, find the roots of x3-3x+1.

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Q: find a real root of the equation x + x + x + 7 = 0 by using Bisection method

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Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

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Q: If x = -1 is a root of the polynomial 0 = x3 + 4x? + 2x – 1, what are the remaining roots? -3+V13 x…

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Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Express as a polynomial.

A: Use the identity x+y2=x2+y2+2xy.

Q: Given roots x = 4 (multiplicty 2), x = 1 + sqrt(2), and a leading coefficient of 1, write a…

A: Given:   Roots of polynomial: x = 4 (with multiplicity 2)  and  x = 1 + 2 Therefore other root is x…

Q: Each polynomial function has exactly one positive zero.Approximate the zero correct to two decimal…

A: Given polynomial function          f(x)=3x4+4x3-8x-2

Q: Suppose that a polynomial equation has the following six roots: -9, -6, 1 + i/2,1 – i/2, 6, and 9.…

A: Here, the required polynomial has six roots: -9,9,-6,6,1+i2, 1-i2

Q: Find the roots of the factored polynomial. (x - 1)(x - 3)(x – 6) Write your answer as a list of…

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Q: I have a question about roots. How quickly can you determine the number of roots a polynomial will…

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Q: Find all the zeros AND factor f into linear factors. 3) f(x) = x4 - 12x2 - 64

A: Given,           fx=x4-12x2-64

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

A: The data given can be written in a table as follows: x fx 0 1 0.5 2 1 3 1.5 4

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

A: The given zeros of the function are: -5, 4i, -4i

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: Please find the roots of the equation f(x) = 3e-x - 4x + 1 using Bisection and False-Position…

A: Answer is mentioned below

Q: If x* – 1 = (x – 1) q (x), which polynomial represents q(x)? |

A: As we know that (x2-y2)=(x-y)(x+y)

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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Q: If f(x) is a polynomial of the first degree and a is not equal to B, show that f(x)= f(B)(x-a) -…

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Q: I need to write a polynomial f (x). One of its zeros is given—factor f (x) as a product of linear…

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Q: Given that f(x) = 12x' - 32x2 + 3x + 5, obtain signs of f(-1), f(0). f(1), f(3) and deduce that…

A: Given that f(x)=12x3-32x2+3x+5 Let us find the signs of f(-1); f(0); f(1); f(3)…

Q: I need help with polynomials. How quickly determine the number of roots a polynomial will have by…

A: Let suppose we have linear equation  x + 2 =0 Look at the leading term ,it has only one power , then…

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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Q: Use the rational roots theorem to find the possible roots of the following polynomial equation: 35x3…

A: Consider fx=35x3-404x2+211x-22, Here, p = factors of constant term 22. So, p=±1,±2,±11. Also, q =…

Q: The equation that gives the depth x to which the ball is submerged under water is given by x²…

A: Given equation is x3 -0.165 x2 +3.993×10-4 =0 Take  fx = x3 -0.165 x2 +3.993×10-4  Let initial…

Q: Write the polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

A: Polynomial problem.....

Q: When dividing the polynomial f(x) by x-p, where p is a real number, the quotient ( Luāll e) is Q(x),…

A: We have to solve given problem:

Q: 4) -3, -4, 5 ansurer -2 -3 3 answer 6) - answer .

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Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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Q: How many turns would be there in the polynomial function of degree 3?

A: Concept: Various graph of diffrent polynomials is explained below:

Q: The function, f(x) = x³ + x – 13x + 3 has an x-intercept at x = 3. Use polynomial division to factor…

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Q: Let ? be a polynomial function, and let ? and ? be two consecutive roots of the equation ?′(?)=0.…

A: Ww have to given statement by using Rolle's Theorem

Q: If f (x) = by a + 1? 5x° + 2x + 2, then what is the remainder when f(x) is divided %3D

A: Will use remainder theorem to find the remainder

Q: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a…

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

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: Use the Newton-Raphson met determine the real root of: f (x) = -1+ 5.5x – 4x2 + 0.5x³

A: In this question, we used the newton formula and then find the approximations the formula is…

Q: Write the polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

A: Given: Zeroes are -3, 4i and -4i So, the factors are (x-(3)), (x-4i), (x-(-4i). or   the factors are…

Q: The negative root of x' – 3x° + x> – x4 – x – 11x + 31 the x-axis.

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Q: Calculate the roots of the following polynomial equations: (a) x – 6x2 + 1lx – 6 = 0 given x = 1 is…

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Q: Find x so that the distance between (−4, 5) and (x, 3) is  the square root of 29

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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: What is the degree of a polynomial equation? What are polynomial equations of degree 1 and degree 2,…

A: given , to define degree of polynomial equation and what are polynomial equations of degree 1 and 2