Determine a quadratic function in standard form that has roots x 3i and x -3i and also passes through the point (0, 27).

Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

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Q: a) Find the 4th approximation of the positive root of the function f(x) = x ^ 4 - 7 using the…

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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: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: 4. Use the Intermediate Value Theorem to show that the equation 2x3 + x – 2 = 0 has a root in the…

A: The given equation is 2x3+x-2=0 has a root in the interval -1,1

Q: 40. Express the quadratic function f(x) = x2 - x - 6 in vertex form, and sketch its graph (showing…

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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: Find the polynomial function of lowest degree with rational coefficients that has the given numbers…

A: Given zeros

Q: Find an equation of polynomial function with real coefficients having zeros at 3,-1,4+2i

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Q: Determine the real root of f(x)= 4x^2 - 10x + 4.  Iterate until the estimated error falls equal or…

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Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: SolutionA parabola has horizontal intercepts(roots) at x = 6.1 and x = 1.4and passes throught the…

Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: Find an equation of the cubic polynomial f(x) = ax3 + bx2 + cx + d that passes through the given…

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Q: by graphing the standard quadratic function f(x)=x². Then use transformations of this graph to graph…

A: Please refer to the image below

Q: 1.у 3D2x? + 3х - 4 - y = Зх- 4 2. у 3 5x?- 7х + 2 3. у %3 3x2-4х +5

A: Topic = Quadratic equations As per guidelines , At a time only three sub-parts of a question can be…

Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: Determine a quadratic function in standard form that has roots x = 3i and x = -3i and also passes…

A:

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: Suppose that a = 0.5 mi, vo = 9 mi/h, and vs = 3 mi/h as in Example 4, but that the velocity of the…

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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 quadratic function using the given roots 1. (-3 2 ,0) and (1,0) 2. (2 3 ,0) and (-3,0)

A: We can find the quadratic functions as below.

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

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Q: Find a polynomial equation of the least possible degree with integral coefficients whose roots are…

A: Given: Let us determine the polynomial equation of the least possible degree with integral…

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,2) and…

A: Calculation:Compute the derivative of y = ax3 + bx2 + cx + d as follows.y' = 3ax2 + 2bx +…

Q: 1. Express the quadratic function f1x2  x2  x  6 in standard form, and sketch its graph.

A: Given: f(x)=x2−x−6

Q: Find the quadratic function such that f(4) = - 26, f '(4) = -19 and f ''(4) = -6.

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Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. + 0…

A: topic- polynomials

Q: b) Write down the polynomial equation for (1,-2) and (4,3) using Lagrange Method.

A: Let x,y =1,-2 and x2,y2 =4,3Then by Lagrange 's method , interpolating polynimial is given…

Q: Determine the real root of f(x) = 5x^3-5x^2+6x-2. Iterate until the estimated error falls equal to…

A: Given: fx=5x3-5x2+6x-2

Q: Find an 4th degree polynomial function with real coefficients whose zeros are 4,–1,2, v2i and a…

A: Here degree of polynomial is 4 so it has 4 roots.

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: Find the formula of f(x) a polynomial function of a least degree

A: At x=-4 the curve cuts the x-axis. So x=-4 has multiplicity=1 So the factor is (x-(-4))=(x+4)   At…

Q: Find the quadratic polynomial whose graph goes through the points (-2,8), (0, 6), and (1, 11). f(x)…

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Q: 5. Sketch a possible graph of a quadratic function which has two real roots (one positive, one…

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Q: り -3,-4,5 5.) 2 3 -2,3 3 (6.) - 1 -s.-1 ー9 し 一2

A: When all coefficients of a polynomial are integers, the polynomial is referred to as a polynomial…

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

A: To determine the roots using Regular Falsi Method.

Q: Find a quadratic function with the roots 1 and 3

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Q: Form a polynomial equation with integral coefficients whose only roots are given. 1/2,-2/3,1/3

A: Let P(x) be the polynomial whose roots are X1 = ½ , X2 = -2/3 & X3 = 1/3

Q: Determine a quadratic function in vertex form given that it has a vertex at (3, 0) and passes…

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Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We have to find the equation for a cubic polynomial that could generate this graph given that it…

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: Find the quadratic function with the given vertex and point. (a) Vertex (0,0) passing through…

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Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

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Q: Q1: Prove that the equation x2 = 7 has a unique positive real root. %3D

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Q: use the result to derive the quadratic splines and estimate the value at x = 5.0

A: The data given is as follows: i xi fxi 1 3 2.5 2 4.5 1 3 7 2.5 4 9 0.5 Three quadratic…

Q: Sketch the quadratic f(x) = (x-4)² - 5 main points from the parent function, appropriate manner.

A: Topic:- function

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

A: We can solve the problem by just multiply the factor of the polynomial.

Q: Express the quadratic function -2x+3+x into the form a(x+p)' +q

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Q: Determine a quadratic function in standard form that has roots x = 3i and x = -3i and also passes…

A: given that roots of quadratic function…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.