This shows that the statement is true for these examples, but to prove that it is true all the time we must use algebra. Write the first of the two even numbers as \(2n\), where \(n\) is an integer.

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear ...

Some details: MATH 495L The Fundamental Theorem of Algebra. Over the centuries, there have been numerous proofs of the Fundamental Theorem of Algebra (FTA), which asserts that every polynomial of ...