[D] Use Lgrange's interpolation formula to find a polynomial in the form (az + b)(cz² + dx + e) for the following data: 1 3 4 f(r) -12 12 24 a = c = d = e = ||

Q: 2. Which of the following is an example of a polynomial function? -cif a. f(x) =+3x – 1 C. f(x) =…

A:

Q: If f is a polynomial function, and x − 6 is a factor of f ( x ), what is the value of f ( 6 ) ?

A: Answer is 0 Explanation is given below..

Q: Q1-Using the nodes (x, =2, x-=2.5 and x; =4), to find the second interpolation polynomial for flx) =

A: Given nodes are x0=2, x1=2.5, x2=4 and function is f(x)=1x Now table is x 2 2.5 4 f(x) 0.5 0.4…

Q: ving polynomials for x = 2 and x = -2, ree of each polynomial. %3D %D -10 + 3

A: The degree of a polynomial is the highest power of the variable in a polynomial expression.

Q: - Given f(x) = 2r - 5x + x - 7, a. Evaluate f(4). b. Determine the remainder when f(x) is divided by…

A: GIVENfx=2x4−5x3+x2−7

Q: Using pencil, paper and calculator, form the Lagrange interpolating polynomial corresponding to the…

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Q: Which of the following is a polynomial function?

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Q: Which of the following is a polynomial? 21/1/2 3x²-3x² + 2y 3 5x 2 4 3xy² + 8y²-3 -7x S r³-1 2 N-

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Q: (~-()' 15 3 20

A: a) Evaluate  (i20-(1i)15)3 =(i20-1i15)3 ={(i2)10-1i(i2)7}3 we know that i2=-1={(-1)10-1i(-1)7}3…

Q: ● Find the best fit equation for the second-degree polynomial of the form y = ao + a₁x + a₂x² given…

A: We need to fit the polynomial y=a0+a1x+a2x2 for the data x y 1 -9 3 3 4 16 5 29 7 70…

Q: How many roots are there for the polynomial that factors into f(x) = (x² – 1)(x + 2)(æ – 1)2? 3.

A: no of roots = ?

Q: Which of the following equations is a polynomial in standard form? O f(x) = 4x - r +3VT %3D O f (r)…

A: Yes, you are correct.

Q: Which of the following quadratic polynomials are irreducible? To check, complete the square if…

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Q: Find a polynomial function p(x) with real coefficients which has zeroes -2i and √2.

A:

Q: What is the multiplicity of the root r = 2 for the polynomial y = x³ – 3? + 4? O 2 O 4 O 1

A: Given polynomial is, y=x3−3x2+4

Q: Evaluate this polynomial when x= 2: f (x) 8x + 5x- 3x² – 2° O 76 O645 O-147 O75

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 9 Y 8. 4 -1 8 4 6 6…

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Q: 5. Find the best fit by a first degree polynomial for the following data: x -3 -1 0 2 y 8 5 4 1

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Q: Calculate the first three Legendre coefficients for f (x) = x² + 1 and then express the f(x) in…

A: The solution of the differential equations are the functions that satisfies the differential…

Q: 18. Which polynomial function has zeros -2, ½, 2, 1? * О А. у3 2x4 -Зх3- 7x2 +12х - 4 В. у %3D2х3 -…

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Q: Fit a cubic polynomial to the following data: X y 3 1.6 4 3.6 5 4.4 Determine the coefficients, r²…

A: Given data: let us start using cubic polynomial    X Y 3 1.6 4 3.6 5 4.4 7 3.4 8 2.2…

Q: Find the roots of the polynomial: f (x) = 2(x – 5)³ + 16.

A: Given f(x)=2x-53+16

Q: Add the given polynomial functions: y y +7 у + 7 Step 1: In adding a similar denominator, just copy…

A: