### Determine the minimal polynomial over Q for the element 1+i.

Determine the minimal polynomial over Q for the element 1+i.

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Determine the minimal polynomial over Q for the element 1+i.

Translate to an algebra statement; do not solve: Nine times the difference of a number and twelve yields the same result as triple the same number increased by seven.

12 Problems. Please see the attached file for the fully formatted problems. Section 4.1 Find the greatest common factor for each of the following sets of terms. Exercise 14 , , Exercise 42 Factor each of the following polynomials. Exercise 60 Find the GCF of each product. Exercise 62 T

I need a simple SQL program demonstrating the use of CREATE FUNCTION command in SQL. A create table can be used to generate a simple record of items such as name, title, age. The Create Function command will be used to retrieve one specific value. The program should demonstrate and show how you can pass a variable in and outp

Section 5.1 #50 Complete the factoring of each monomial. = -12 ab3c3(8a2bc2) #58 Factor out the GCF in each expression. 6wz + 15wa =3w(2z+5a) Section 5.2 #52 Factor each polynomial. =5(y2+4) #56 =4(3a2-4a-8) #70 Use grouping to factor each polynomial completely 3x+3z+ax+az =3(x+z)+a

25 Algebra problems. 1. Which number is prime? A) 4 B) 43 C) 39 D) 121 2. Find the GCF for 14 and 21. A) 1 B) 6 C) 7 D) 42 3. Find the LCM for 13 and 78. A) 1 B) 13 C) 78 D) 1014 4. Convert to a fraction. A) B) C) D) 5. Convert 0.4 to

Determine if possible whether f(x)=3x^3-2x^2-7x+5 has a zero between a=1 and b=2. (e answer will be yes or cannot say Determine if possible whether f(x)=x^3+3x^2-9x-13 has a zero between a=1 and b=2. (The answer will be either "yes", or "cannot". Classify the polynomial as linear, quadratic, cubic, or quartic. Determine t

Prove by contradiction that there does not exist a largest integer. Hint: observe that for any integer n there is a greater one, say n+1. So begin the proof "Suppose for contradiction that there is a largest integer. Let this integer be n...."

Need to prove: 1.) If x is a real number and x^2=3, then x is irrational. 2.) The proposition "if x is a real number and x^2=4, then x is irrational." is false since x=2=2/1 is rational and 2^2=4. Pinpoint where in the previous argument the proof of this proposition breaks down. See attached file for full problem desc

See attached file for full problem description. 1. Use the five properties of exponents to simplify the expression 2. - 5x - 6, x = -3 and x = -2 3. What expression raised to the fourth power is 81x12y8z16? 4. The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost w

Can the equation: m = -2.5 * log(B1/B2) be solved for either B1 or B2 If so, how?

Solve following for x, expressing answers as compound fractions and integers where appropriate: a) log (5x - 4) - log (5x - 4) = 2 b) log (5x - 4) + log (5x - 4) = 2 The logarithms are base 3.

Find the square root of 9b6 + 36b5 + 84b4 + 78b3 + 28b2 - 48b + 9

1. Explain in your own words the law of large numbers. Provide an example to illustrate. 2. Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1. 3. Why is expectation important? Explain what the expect

Perform the indicated operation and simplify: (1/2x - 1/y) / (1/x - 1/2y)

Perform the indicated operation and simplify: (6x^2-9x+4) / (3x+3)

Please show how ((n/s^2)((t-x)^2))+((1/v^2)(t-m)^2) = ((1/v1^2)(t-m1)^2)+((n/(s^2+n*v^2))(x-m)^2) where v1^2 = (s^2*v^2)/(s^2+nv^2) and m1 = (s^2m + n*(v^2)x)/((s^2)+nv^2) every single step is not necessary just the important ones.

Using the laws of indices only, solve for x: 8^x + 2^x = 2^3 * 4^x + 2^3

(2x + 3)(x - 5) = - 18

X^1/2 = 2 - x

2/(x + 2) + 3/(x - 1) = - 6/(x^2 + x - 2)

For Problems #10 - #14, factor completely. See attached file for full problem description.:

Perform the indicated operations and simplify (4 x 10^-4)(5 x 10^-12) =

(18x2y2 - 12x2y - 6x2)/(-3x) =

Perform the indicated operations and simplify (x2 - 4x + 4)/(x2 - 2x) / (2x2 - 7x + 6)/(2x2 + 5x - 12) =

See attached file for full problem description.

1. 5/((6)^1/2 - 2) = 2. 2/(3x)^1/2 = 3. (-32)^-2/5 =

Jemma and Gareth are playing a board game on a 7 X 7 square grid. They take turns to place a black counter in an empty square on the grid. The winner is the person who completes a line of three counters. * * * * * In this game, Win

1. If f(x)=2x-3 and g(x)=x2+1, find each of the following: a) f(g(2)) b) g(f(3)) 2. Let f(x)=x2+2 and g(x)=square root of 1-x2. a) Find the domain and range of f and g. b) Are the functions of f g and g f defined? 3. Given F(x)=cubed root of x+5, find functions f and g such that F=f g. Explain the answer.

See attached file for full problem description.