Expand 1+2x –x² in series of Legendre's polynomials. (2p,(x) +P, (x) – 3p, (x). 2 (P,(x) +3p, (x) – 2p, (x).. (P, (x) + 3p, (x) – P,(x).o 3 (P, (x) +3p, (3) -P, (x).0 2

Q: Let p(x) = ax² + bx + 2 IF be a polynomial of degree two then p(2) is equal to P(-2) = 18 and p(3) =…

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Q: 2 17. The polynomial P(x) = x* - &x – of x = 1, 3, and -2+i. What is its fourth zero? 8x +15 has…

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Q: 25. f(x) =x-16x A) -4, 0, 4 B) -8, 0, 8 C) -2, 1, 2 D) 2, 4, 8 26. g(x) = x* -x' -6 A) -V3,-V2, 2, 3…

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Q: 7. The polynomial function f(x) = a + bx + c² + dx³, where a, b, c, d, e E R, interpolates the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Which polynomial lists the powers in descending order? OA. 3x6+10x² + x³ + 8x³ - 2 OB. x+3x6 +8x³ +…

A: To find which of the given polynomial has powers in descending order that the x has powers in…

Q: Find the polynomial p2 (z) = a0 +ajz+ azz? nat interpolates the ponts (0, -1). (2, –1) and (3,2).…

A: Let the polynomial be  p2(x)=a0+a1x+a2x2                                      (1) As equation (1)…

Q: (a) Determine the missing values in the divided difference table provided below. xo = ? ƒ[x] = 1 x₁…

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Q: 8. 6 9.-10p2 10. 7mn -m2 + 8m5+6n4

A: Polynomials in single variable looks like  a0+a1x+a2x2+a3x3....

Q: Find a monic, irreducible polynomial + a6 X6 + a5 X$ + a4X4 + a3X³ + azX² + ajX' + ao E Q[ X] ...…

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Q: Question 1 Expand the f() = 2+9x + 4x in a seried of Legendre polynomials. O a 3.333333333333…

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Q: te a polynomial function with zeros -3, -12 and v2 A) p(x) = x² - 2r – 6 Final Exam Math 001 Term…

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Q: 200. (5ab- 1)(2ab + 3)

A: Topic = Algebra

Q: Let P(R#) represent the set of all polynomial functions, functions that can be written in the form…

A: Given that   P(R#) represent the set of all polynomial functions. Each polynomial in P(R#) can…

Q: Example 1: What is the product of-4x and (x+2x-4)? Box Method "FOIL" Method Try It Problem #1: Find…

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Q: 10. Determine whether the first polynomial in P3(R) can be expressed as a linear combination of the…

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Q: 28. m(x) = x -3x -4x+12 A)-3, -2, 2 B) -2, 2, 3 C) -2i, 2i, 3 D) -3,-V2, V2 poser 29. n(x) =x* +2x…

A: We find out the roots of given polynomial putting equal to 0 . Follow 2nd and 3rd step.

Q: x + 1, then find the value of a. The polynomials ax - 3x² +4 and 2x - 5x+awhen divided by (x – 2)…

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Q: The zeros of the polynomial P(x) = x³ – 2x2 + 4x - 8 are %3D La)-1,2i, and - 2i (b) 1,2i, and – 2i…

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Q: If fis a polynomial and f (z) = i, thenf(2) = i True B) False

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Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities?…

A: We have to find the zeroes and their multiplicities.

Q: Expand the f(x) = 10 + 8x +9x² in a seried of Legendre polynomials. O a 13P,x)– 8P,(x) – 6 P, (x) O…

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Q: If x* – 1 = (x – 1) q (x), which polynomial represents q(x)? |

A: As we know that (x2-y2)=(x-y)(x+y)

Q: 13. Let P(x) be the degree 10 polynomial through the 11 points (-5,5), (-4,5), (-3,5), (-2,5),…

A: We will find the value of P(6) using the Newton's forward difference interpolation polynomial of…

Q: Given the unit tangent 1 (-2 sin t, 1, 2 cos t), V5 U = and unit normal vector: n = (– cos t,0, –…

A: We are given  unit tangent vector ,u=15(-2 sin t,1,2 cost) and unit normal vector, n=-cost,0,-sin t…

Q: t(n) = 7t(n-1) - 6 What is the smaller root (the root with smaller value) of the characteristic…

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Q: t is known that the polynomial p(x) = 2- (r+ 1) + x(x+ 1) – 2x(r + 1)(r – 1) interpolates the first…

A: Given:- p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-)  interpolates the first four points of the table. x -1 0…

Q: Factor the polynomial completely. 18a'+ 5la*+ 8a O a* (3a + 8)(6a - 1) O a°(3a + 8)(óa + 1) O a (3a…

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Q: 2. Determine whether the set S = {(2, 0, 1), (2, -1, 1), (4, 2, 0), (-6, 2, 3)} a. Spans R3 b. Is…

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Q: 5. (x5 + 25x3 -7x2 +37x 18) + (*+5) %3D II. A. Use the REMAINDER THEOREM to find the remainder of…

A: We have to solve

Q: Which of the following sets of polynomials span R2 O A and C O A, B and C A and B B and C O A =…

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Q: expand and simplify the following polynomial: 2 (7 – 4a) a (2a – 4) (5a + 1) 40a + 390a? + 180a O…

A: 2(7-4a)a(2a-4)(5a+1) = (14- 8a)a{ 10a2 + 2a - 20a -4}  = (14a- 8a2)( 10a2 -18 a - 4)  ={ 140a3…

Q: Indicate whether the polynomial is written in standard form or not. A) Standard form B) NOT standard…

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Q: What is the value of f(-2) of the polynomial f(x) =-a + x + 1? What does this mean about the linear…

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