[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: f(x) = x* + x³ - 22r² – 2r + 40 %3D

A:

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: (~-()' 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: 1. Divide. x4 – 2x2 + 7x x2 – x + 3

A:

Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

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

A:

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: For the polynomial function y = (x + 4)2 (x + 1)(x – 3)3 find the following List the factors, zeros…

A:

Q: Graph the following polynomial functions. Label the x- and y- intercept(s) each) on the graph. (4…

A:

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

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

Q: Determine the roots of the function f(x) = (52" – 6)² – (5²" – 6) – 12. -

A:

Q: Consider the following function: 2x 8x -18 1 -1 -8x 18 8 3 0 f(x) -X 10 1 2 0 0 When f(x) is…

A: