Show that the polynomial interpolating the following data has degree 3. 비 f(x) 1 4 11 16 13 X -2 0 1 2 3

Q: rue or False: All polynomials are functions. Why

A: Given  All polynomials are functions.

Q: It is desired to have the first joint of a six-axis robot go from initial angle of 100 to a final…

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

A: Lagrange polynomials are used for polynomial interpolation.

Q: What is a polynomial in x?

A: The x happening in a polynomial is generally referred to as a variable or an indeterminate. When the…

Q: Write g(x) = x² + x³ + 2x²+x+2 as a product of irreducible polynomials over 2.₂. за

A: Write as a product of irreducible polynomials over .

Q: Differentiate the function f (x) = (3x2 + x - 2)2 in two ways. (a) Use the general power rule. (b)…

A: To differentiatef(x)=(3x2+x-2)2 in two ways

Q: Explain the concept of Inverse of a Lag Polynomial with Example?

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Q: Define the Newton form of the interpolating polynomial?

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Q: What is the polynomial of degree zero

A: Degree of Polynomial: In a polynomial highest power of variable is called degree of polynomial.

Q: Sign of f(x) +

A: From the sign of given f(x) the x intercepts are at -3,-2,0 and 2 for x<-3 the sign of f(x) is…

Q: voIssaidxa uP vƏuM MouN no. olynomial? How does a term differ from a constant?

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Q: Discuss the properties of polynomials

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Q: Show the synthetic division work that reveals the two real zeros of the polynomial function. f(x) =…

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Q: Write x3 + 3x² + 3x + 4 in Zs[x] as a product of irreducible polynomials.

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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.