Use synthetic division to solve: Show your work for credit. x' - 4x* – 2x' + 4x? +x = 0 Hint: This is a 5th degree polynomial so you should have 5 solutions.

Q: +2x-2 h(x) 5x +

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Q: Find the root of 4x³ +3x² + 2x +11 over the interval [-2,–1].

A: We will find out the required root.

Q: When dividing x^3+2x+4 by 3x+2 in Z11[x], the remainder is

A: 1)  The statement is true  Now to see  ho the given polynomial is irreducible or not

Q: Find the polynomial of the lowest possible degree which assumes the values 3, 12, 15, 21 when x has.…

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Q: Give a polynomial equation with integral coefficients that has the following roots. 3, -1, 1

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Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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Q: how to divide the parabola using long division (x4-16)/(x-2) and x4 is x to the 4th power

A: The given division,   x4-16x-2

Q: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

Q: Your polynomial should have. Degree 4 Roots at -2, -4 and 3 f(x) approaches negative infinity as x…

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Q: Use polynomial long division to divide f(x) = x3 – 5x² + 8x – 2 by x² – 2 and cotient and remainder.

A: To divide the function f(x)=x3-5x2+8x-2 by x2-2  using polynomial long division and to identify the…

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

A: Lagrange polynomials are used for polynomial interpolation.

Q: Find the equation of the polynomial with roots (–√3, 0) and (7i, 0), real coefficients, and passing…

A: Step I :   Given :   Roots : -3 , 0 & 7i , 0and passing through the point 1 , 200Find the…

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

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Q: Give one example of a polynomial of degree 4 that has a zero at x=5 with multiplicity 2 (there is…

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Q: S x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 +3

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Q: Now let's attempt to work a similar problem backwards. Suppose you have a polynomial with leading…

A: Given  Leading coefficient =12 constant=15

Q: Find the polynomial in x of the third degree, which vanishes when x=-1 and x=2 has  the value 8 when…

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Q: Use polynomial long division to solve: x'+2x- 2x - 1 divided by (x - 1). 1. x²+3x - 1 2. x²+3x+1 3.…

A: Consider the given polynomial: Perform long division:

Q: Solve (x^3-4x^2+7x-10)\(x-2) using synthetic division.

A: Take the constant term of the divisor with the opposite sign and write it to the left. Write the…

Q: b) Used bisection method to find the root of f(x)= x³ + 3x-5, Do calculation until six iterations in…

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Q: Determine the roots and the end behavior of tthe polynomial f(x)=(x+2)2(x-1). Be sure to explane how…

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Q: Select the factors that multiply to create a polynomial with this description: (1) As x→-0, y→-∞ (2)…

A: Given x→-∞ and y→-∞ and x→∞ and y→∞ and x=4 is a root

Q: Find a polynomial / (x) of degree 4 that has the following zeros. 0, -8, 9, -5 Leave your answer in…

A: Given data: The first zero of the polynomial is x1=0. The second zero of the polynomial is x2=-8 The…

Q: Using the quadratic approximating polynomial to estimate, is approximately 0.98

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Q: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

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

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Q: Find real root of the equation x^3-3x-5=0 by the bisection method

A: According to the given information, it is required to find the real root of the given equation using…

Q: 9.)-2, 5 -3.2 3

A: Since you have posted a multiple question according to guildlines I will solve first question (i.e…

Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you…

A: Taylor polynomial 2nd degree polynomial is at e=0

Q: Find the negative and positive root of -20x^2+28x+36=0 using secant method.

A: Given: -20x2+28x+36=0 To find: Positive and negative root using secant method.

Q: Find the root using Regula Falsi Method (show your table) x^2-6x+9=0   Ans. x=3

A: Regula falsi method or false position is a numerical method to solve equations in one unknown. This…

Q: (6x* + 10z³ + 5x² + x + 1) ÷ (x + ,) 31

A: Use Synthetic division to find quotient

Q: Find a root of an equation f(x) = x³ – x – 1 using False position method and bisection method.

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Q: find the root using Regula-Falsi Method (show your table) x-e^-x=0   Ans x=0.567

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Q: Give one example of a polynomial of degree 4 that has a zero at x = 5 with multiplicity 2. (There is…

A: Given: The given degree for the polynomial is 4. the given zero of the polynomial is x=5.…

Q: Give a polynomial equation with integral coefficients that has the following roots. 0, -3, -1, 2

A: This question is related to polynomials, we will solve it using given information.

Q: Give a polynomial equation with integral coefficients that has the following roots. ±2 , ±3

A: To give a polynomial equation with integral coefficients that has the following roots.±2 , ±3

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

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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: Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.

Q: Find the polynomial function with real coefficients 3, -1 with multiplicity of 2 and -i. Rewrite in…

A: If x=3 is a zero then (x-3) is a factor. If x=-1 is a zero then (x+1) is a factor. It has…

Q: 2. Find the positive root of x +2 lnx - 4 = 0.

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Q: Use long division to find the slant asymptote f(x)=2x2+7/x

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Q: Use synthetic division to divide (5x^4 - 2x^3 + x - 4) by (x -2)

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Q: x to the third minus 512 over x-8 and must be solved using synthetic division.

A: First of all, consider the dividend and the divisor.

Q: Give one example of a polynomial of degree that has a zero at x=5 with multiplicity 2

A: zero at x=5 with multiplicity 2

Q: Which is the cubic polynomial in standard form with roots 3, -6, and 0?

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Q: 3 Use synthetic division to divide f(x) =x° + 18x + 101x+ 180 by x+4. Use the result to find all…

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Q: Flx)=14x=2x - 2x find obliq-es asympto tes use the long Formula

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