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Let f(x) = x^4+2x^3−x^2−4x−2 and g(x) = x^4+x^3−x^2−2x−2. Find thegreatest common divisor d(x) of f(x) and g(x) in Q[x]. Find polynomialsa(x), b(x) in Q[x] such that d(x) = a(x)f(x) + b(x)g(x).
a shirt is marked 15off and the sale price is 32.30. what was the original price?original price
Solve the following equations
at the beginning of the year nicole has 5000 in her checking account. she receives a 1000 paycheck from her job each
Factor out all common monomials first in order to factor the following trinomial expression:
Consider first a linear equation of the form 2x - 5y = 8. What are the major differences between the linear equation graph and the linear inequality graph?
Prove that the equivalence relation modulo m where m is an integer, forms a ring. Also, does this same equivalence relation form a field and why?
Substitution method for solving the equations
Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify the expression. How do the laws work with rational exponents?
For what parameter t does the slope of the line tangent to the graph at the point correspond to the value of the parameter -5? What are the rectangular coordinates at that point?
I'm just no good at proofs. I know we are supposed to go through and prove the Vector Space Axioms and the C1 and C2 closure properties. I just don't think I'm doing it successfully. I'm just not understanding this. For instance, the closure prope..
Is the compound interest formula, such as would be used to calculate a car loan, an example of a function? If it is, of what type of function is it an example?
The everton College store paid $16.74 for an order of 48 calculators. The store paid $9 for each scientific calculator. The other all graphing calculators, cost the store $555 each. How many of each type of calculator was ordered?
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