express f(x) =x³+2x²-x-3 , in term of lagendre polynomial

Q: Divide the polynomial f(x) = x³ + 4x2 + 5x + 2 by (x + 2) (x + 4x2 + 5x + 2) ÷(x + 2)

A: To divide the polynomial f(x) = x3 + 4x2 + 5x + 2 by x + 2

Q: What type of polynomial satisfies f"(x)=0 for all x?

A: Topic-polynomial

Q: Find the value of f(x) = 12x6 - 8x4 + 1 at x = 4.

A: f(x) = 12x6 - 8x4 + 1 at x = 4

Q: Divide the polynomial f(x) = x + 4x² + 5x + 2 by (x + 2) (x³ + 4x? + 5x + 2) ÷(x + 2)

A: Given the polynomialf(x)=x3+4x2+5x+2

Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: How can say that f(x)= x3 + 2x+1 is a polynomial function?

A: We know the definition of polynomial, Any expression should be polynomial if there is no square root…

Q: What are all the zeros of the polynomial function fx)=x-2r-8r+10x+152 x- -1, x-3, x + V5 A x=1, x =…

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Q: Express f(x)= 4+ 6 x² + 7 x + 2 in terms of Legendre Polynomials.

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Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

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Q: 2. Find f(3x) if f(x) = 4 – 2x². (

A: We have to find f3x if function is given as: fx=4-2x2 In this case we just have to replace the value…

Q: Find f'(x). f(x) = 2 In (2+7x2)

A: Taking derivative with respect to x,   Take the constant 2 out of the brackets,

Q: Sketch the graph of the function h(x) = 3x2 − x4 by (a) applying the Leading Coefficient Test, (b)…

A: The term with the highest power is the most influential in plotting the graph of the function thus…

Q: Which type of polynomial satisfies f 111(x) = 0 for all x?

A: To find: The polynomials that satisfy f'''(x)=0

Q: When a polynomial function f is divided by x - c, theremainder is_______

A: Give a polynomial function f is divided by x - c

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

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: Express f (x) = x + 3x - x2 + 5x – 2 in terms of Legendre polynomials.

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Q: What is a polynomialfunction in degree 1

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Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

A:

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 4x* - 7x2 + 2 has a real zero…

A: topic - intermediate value theorem

Q: Which polynomial function would have the end behaviour of as x →to, y →o?

A:

Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

A:

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: 8 (x)= 1 centered at a =0 1+x

A:

Q: Find all zeros of f(x) = x - x + 8z + 60.

A: Given that : The polynomial is f(x) = x 3 - x2 + 8x + 60.

Q: Sketch the graph of the function f(x) = 3x3 − 15x2 + 18x by (a) applying the Leading Coefficient…

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

Q: Sketch the graph of the function f(x) = 8 − x3 by (a) applying the Leading Coefficient Test, (b)…

A: Sketch the graph of the function f(x) = 8 − x3 by (a) applying the Leading Coefficient Test. (b)…

Q: Graph the polynomial function f(x)--(x + 1)(x - 1) (x - 3)²

A: Given polynomial function f(x)=-(x+1)(x-1)2(x-3)2. The objective is graph the polynomial function.

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: Find the domain of f

A: Given: fx=4x-3x2-4. Here, fx is defined only when 4x-3≥0 and x2-4≠0. When 4x-3≥0, x≥34 When…

Q: The equation that does not represent a polynomial function is Oy = - = -x + Oy = x 10 - x + √22 + x…

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Q: Is x =0 in the domain of gex) - x3-4x

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Q: Determine the real root F (x)=26+85x-91x^2+44x^3-8x^4+x^5 Graphically

A: . The real roots of an equation are the x-intercepts of the graph.

Q: Find the discriminant of: f(x)=(5x+4)(2x+2)

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Q: 1. Use synthetic substitution to find f (-2) if ƒ (x) = 2x* – 5x³ – x + 13.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find sum of two polynomial f(x) = x^3-7x+6 and g(x) = 5x^3-8x+1

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Q: Let f(x) = 2x² + 8x – 9. According to the definition, -

A: Derivative: - Differentiation is the pace at which one quantity changes in relation to another. The…

Q: Evalute the polynomial at x= -2    5x^4-3x^2 - x + 1 + 5x^3

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Q: Calculate R5 for f(x) = 4x² + 8x over [-1, 1].

A: The given function is, f(x)=4x2+8x The interval is [-1,1] that is, -1,-35,-35,-15,-,15,15,15,35,35,1…

Q: When are the non-negative integer and the real constants called the coefficients of the polynomials?

A: When the non- negative integer and the real constants are expressed as linear combination of finite…

Q: Given the function f(x) = 2 + 6x, then what is f(x – 2) as a simplified polynomial?

A: The given function is: f(x)=2+6x

Q: 8. Find the zero of f(x) = 5x - 3. %3D

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: How should the polynomial function fix) = x-x + 11lxt - 2x be written in standard form? A. fix) =…

A: We will solve the problem

Q: Express f(x) = 4x3 + 6x2 + 7x + 2 in term of Legendre Polynomials.

A: The Legendre equation is, 1-x2d2ydx2-2x dydx+nn+1y=0 The polynomial denoted by Pnx is called the…

Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…