If f(x) in Z[x] is primitive, then f(x) is reducible in Z[x] if and only if f(x) is reducible in Q[x]. Unique Factorization Domain (UFD) primitive polynomial Reducibility and Primitive Polynomials Isomorphism from F[x]/ to F(a)

Reducibility and Primitive Polynomials

An integral domain R where every nonzero nonunit element can be written as a unique product of irreducible elements. Ascending Chain Condition UFD and Primes f(x) Splits Unique Factorization Domain (UFD)

Unique Factorization Domain (UFD)

What is the difference betweeen a secant line and a tangent line? Cannot be determined All of the above A secant line is simply a line with an AVERAGE rate of change joining two points of a function. A tangent line is a line with an INSTANTANEOUS rate of change at a specific point. None of the above

A secant line is simply a line with an AVERAGE rate of change joining two points of a function. A tangent line is a line with an INSTANTANEOUS rate of change at a specific point.

What should you do if a question asks you use the definition of a derivative or to use the limit process to find a derivative? Use one of these two equations: 1. General form: lim h-->0 f(x+h) - f(x)/h 2. Specific form: lim x-->c f(x) - f(c)/x-c You use the second equation when the question asks you to find the derivative at a specific point. Also, ALWAYS INCLUDE THE LIMIT SYMBOL IN YOUR WORK. None of the above Cannot be determined All of the above

Use one of these two equations: 1. General form: lim h-->0 f(x+h) - f(x)/h 2. Specific form: lim x-->c f(x) - f(c)/x-c You use the second equation when the question asks you to find the derivative at a specific point. Also, ALWAYS INCLUDE THE LIMIT SYMBOL IN YOUR WORK.