Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through the point (1, 52) a. -2x^4 - 46x^2 + 100 b. -(2/3)x^4 - 14x^2 + (200/3) c. x^4 + 23x^2 - 50 d. x^4 +21x^2 -100

Q: Find a root of an equation f(x)=2x3-2x-5 using False Position method (regula falsi method).

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Q: verbally   If a third-degree polynomial has a lone x-intercept at x = a, discuss what this implies…

A: Given query is to provide information regarding factor of a 3 degree polynomial.

Q: Find a root of an equation f(x) = (2x^3) -2x-5 using False Position method (regula falsi method).

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Q: Form a polynomial equation with integral coefficients whose only roots are given -4/3,2i,-2i

A: Since, -4/3, 2i, -2i are the only roots of the required polynomial equation, so (x+4/3), (x-2i) and…

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Q: Compute the zeroes of the polynomial 4x2 - 4x -8 also establish a relationship between the zeroes…

A: Given Polynomial 4x2-4x-8 = 4x2-8x+4x-8  = 4x(x-2)+4(x-2) = (4x+4)(x-2) In order to find the zeros…

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Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: express 5x2 - 3x + 6 in terms of Legendre's polynomial.

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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 polynomial of degree 5 whose zeros are -4,2,0 ( multiplicity 3) and contains the point (-2,64

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Q: one of the zero of the quadratic polynomial f(x)=4x2-8kx-9 is negative of the other , then find the…

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Q: State the number of solutions for the polynomial. f (x) = x6 - x4 – 25x2 + 24 ----

A: We have to find the number of solutions for the polynomial…

Q: Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept…

A: Given that:                    A polynomial with:   Even Degree   Roots of 1, 2, -3   y-intercept of…

Q: Explain why a polynomial with real coefficients of degree 3 must have at least one real zero.

A: Given, A 3rd degree polynomial with real coefficients. Since the given polynomial is of degree 3,…

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: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x-3 and them verify…

A: Please refer to the image below

Q: Suppose the graph of a cubic polynomial intersects the parabola y = x2 when x = 0, x = a, and x = b,…

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Q: Explain in in words how to solve the 2 question 1) If a third-degree polynomial has a lone…

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Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x³-3x +1 Using a spreadsheet,…

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Q: Form a polynomial equation with integral coefficients whose only roots are given 1/2,square root of…

A: To find the polynomial for given roots Roots are 1/2, √2 and - √2

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1,4 for which f(-2) =18

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Q: Find the cubic polynomial whose graph is passing through the points

A: A cubic polynomial is a polynomial with the highest degree of the polynomial equal to 3. The…

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: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)

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Q: 7. 3/2, -2, 1/3. -1 8. -2/3, -1/2, 2. -5, 1 9.-2. 5/2. 1/3, -3, 2

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (8x2 + 7x - 5)…

A: Simplify and write the resulting polynomial in standard form and indicate its degree. (8x2 + 7x - 5)…

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: Find a formula for the polynomial of least degree that is graphed below. The graph has æ-intercepts…

A: Solved below

Q: Find a polynomial degree 3 with constant term 96 and zeros 3 and 4 (multiplicity by 2)

A: Let Px be a polynomial of degree 3 with constant term 96 and zeros 3 and 4 (multiplicity  2). A…

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: What is the end behavior of a polynomial function of degree 7 with leading coefficient -2?

A: Given: The polynomial function have a degree 7 and leading coefficient is -2. Concept used: The end…

Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Q: Here is a graph and an equation that one of your classmates made on Screen 2: y= -2(x – 4)(x+ 4)…

A: Here is a graph of the equation y = -2(x-4)(x+4)

Q: Find a polynomial of degree 5 with integer coefficients and has zeros ½, -i, and 1 – i, and leading…

A: Given,           The leading coefficient of the polynomial is 4 and zeros of the polynomial are 1/2,…

Q: Find a 5th degree polynomial with zeros x = 3 + 2i, 1 − squareroot2, and −1 with a co-efficient of 4…

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Q: graph

A: Please refer to the image below

Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

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Q: Create an equation for a polynomial whose roots are x = -1, -5, 3 with a y intercept of 8.

A: Given :   Roots : x= -1, -5, 3

Q: Give an example of a polynomial of degree 5 with roots -2 and -i.

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

Q: Express the polynomial x3 + 2x+3 EZ[x]as a product of irreducible polynomials of 75[x]- Attach File…

A: Use the definition of irreducible polynomial and property of ring Z_5[x].

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

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