Problem 6.1 Let S denote the set of all polynomials in one variable with no real coefficients. For example, 3+=+= x + 7x²³+4x²³ € 5. S has a familiar definition of addition and multiplication. Moreover, S has an additive identity, the constant polynomial 0, and a multiplicative identity, the constant polynomial 1. Is Sa field? Explain your answer.

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: 2. 3. 8. 5.

A:

Q: 4n – 1

A:

Q: (1-x²¹) 22-x-x+ x + 2y = 0. d²y dy dx² dx Ay

A: Given : 1-x2d2ydx2-xdydx+λy=0 To Find : write given equation in form of Sturm-Liouville problem

Q: 3 1/4 + 7 1/8

A:

Q: N. 15 12

A:

Q: 6 Find mLABE. (3x +4) (5x-2)*

A:

Q: 196. 2(n+1)

A:

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 4root2*4root2

A:

Q: 9/12+3/24

A:

Q: Find A.

A:

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Finding the LCM of 4,5

A: Given,            LCM of 4,5.

Q: ne binomial:

A:

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: 57-24

A: Given that: 57-24

Q: (2) 4 2. 2. 2/3

A:

Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 9 tmes 8

A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

Q: 12 10 6. X%=

A:

Q: (NINETEEN)

A: The information provided in the are as follows :-Level of significance

Q: 3(5x)

A: given: 3(5x)