Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. 4. -1+i s(4) = 0 %3D

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. 4, 3+i 6. s(x) =…

A:

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: 1. Find the polynomial of degree three for the following data. Also find P(-2). X 0 1 4 6 -1 1 y -1

A: We have,

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

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Q: 5. Given the function f (z) = -3z + z², then what is f(x - 2) as a simplified polynomial? 6. In…

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Q: The coefficient of x' in the cubic polynomial g(x) is a, where a >0. The repeated roots of the…

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Q: when x = 3.57 using quadratic Approximate y Lagrange Interpolating polynomial up to 3rd degree. Use…

A: Given table is xi yi 3.1 20.1810 3.2 22.5280 3.3 25.0470 3.4 27.7440 3.5 30.6250 3.6…

Q: 6. Find the nth degree polynomial that satisfies the given conditions. (R__S_ n = 4, and 2 + 3i are…

A: Given: - The conditions are, n=4, 13and 2+3i are zeros: f(1)=100 To find: - The nth degree…

Q: The polynomial of degre3, P(x), has a root of multiplicity 2 at X=1 and a root of multiplicity 1 at…

A: Given that: Root x=1 has multiplicity 2Root x=-1 has multiplicity 1.y-intercept is y=-0.8

Q: Q3) Find the Lagrange polynomial that fits the followin value of y at x-0: Ans. y-6.03888 -2 3. 5.…

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Q: 5. Given the following polynomial: x* - x3 + 2x? – 4x – 8 = 0 Use The Rational Root Theorem to find…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: Find a polynomial f (x) of degree 4 with real coefficients and the following zeros. 1 (multiplicity…

A: Find the polynomial

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros –1,…

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

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

A: The objective is to find a formula for p(x).

Q: Find the second-degree Taylor polynomial for f(x) = 3x? – 4x + 2 about a = 0. %3D P2(x) = %3D What…

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

A: Complex zeroes occurs in pair. So if i is a zero then -i is also a zero.

Q: 6. List the zeros of the following polynomial function, with their multiplicity F(x) = (x – 3)²(3x…

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Q: Q1: Find an approximation “ x2 “ to one of the zeroes of p(x) = x³ -x -1 using Newton-Raphson and…

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Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x=3 and a root of multiplicity…

A: Please refer to the image below.

Q: 1. Using the points xo = 1 , x1 = 1.6, and x2 = 2.5, find the Lagrange interpolating polynomial that…

A: We find the Lagrange interpreting polynomial using the given points and that fits the function 2/x2.

Q: Find a formula for the polynomial P(x) with • degree 3 • a root of multiplicity 2 at z = 1 • a root…

A: Result used: If a polynomial function has zeros or roots of r1,r2,r3,…, then the polynomial function…

Q: You are given the function f(x) = e9z. Calculate, to two decimal places, the coefficient of the term…

A: As per our guidelines we are supposed to answer only one question.

Q: The coefficient of x in the cubic polynomial g(x) is a, where a >0. The repeated roots of the…

A: Given the repeated root =2

Q: b) f(x)=6x+ +7x² – 8x+ 9 Туре of polynomial Degree Sign of leading coefficient End behaviours Domain

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

A: Explanation of the solution is given below....

Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: Ex1: Find the first seven root of the polynomial equation f (x) = 2x³ - 9x² + 12x – 6 using (a)…

A: given : f(x) =2 x3-9 x2 +12 x -6  Newton Raphson method  formula : xk+1=xk-f(xk)f'(xk)…

Q: The coefficient of x in the cubic polynomial g(x) is a, where a >0. The repeated roots of the…

A: Given that:                      Coefficient of x3=aRepeated roots of the cubic polynomial =…

Q: Find a formula for the polynomial P(x) with degree 3 • real coefficients -D1 y-intercept at (0, 20)…

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Q: Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x =…

A: In this question we have to find a polynomial of degree n that has only the given zero(s).

Q: Find an nth-degree polynomial fu n 4: 2i and 5i are zeros, f(-1)= 130 f(x)%3D (Туре (Type an…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e*, n= 5 P3(x) :

A: Use maclaurin's series

Q: 49. Find the quadratic polynomial g(x) = ax? + bx + c which best fits the function f(x) = e*t at x =…

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Q: From the table find f(1) using interpolating of Lagrange polynomial -102 Y=f(x) 2 -1 5 1 O -1 O о о…

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Q: Determine the smallest degree of the Maclaurin polynomial required for the error in the…

A: The solution is given below in the next step:

Q: 1. Find the Maclaurin polynomial of degree 4 for the function f(x) = Vx+ Answer:

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

Q: The Lagrange polynomial that passes through the 3 data is given by 15 18 22 y 24 37 25 2 (x) = 24L1…

A: The three point interpolation formula through the points x0, y0, x1, y1, x2, y2 can be defined as…

Q: 18. Find the equation of the polynomial, f), with the folle properties. * Derree is 5 • Zero at x =…

A: We have to find polynomial

Q: ve an expression for f(x) using only Real-valued coefficients, having degree 4, passing through the…

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Q: Find a formula for the polynomial P(x) with • degree 3 • a root of multiplicity 2 at x = 5 • a root…

A: By factor theorem, for the root x=a of the polynomial P(x) the factor is (x-a). So, the factor for…

Q: Find the 4th -degree Taylor polynomial centered at x = 0 for the function f(x)=√1+x. Use the…

A:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

A: Given: The polynomial of degree 3 , Px has a root of multiplicity 2 at x=1 and root of multiplicity…

Q: uppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

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Q: Considering: { y"(t) + ty'(t) + ky(t) = 0 y(0) = v (0) = t0, k is a positive even number. Find a…

A: The Laplace Transform of an IVP , y''(t)+Ay'(t)+By(t)=f(t) y(0)=a and y'(0)=b is given by,…

Q: c. Find a polynomial of degree 4 with real coefficients that has a root 3 (multiplicity 2), a root 1…

A: see below the answer