2 Basic Algebra The long fraction line indicates that the division is done last: a+ b c means (a+ b)=cand not a+ (b=c): In writing fractions the length of the
ter 2 deals with vector spaces, subspaces, bases, and dimension. Chapter 3 treats linear transformations, their algebra, their representation by matrices, as well as isomorphism, linear functionals, and dual spaces. Chapter 4 defines the algebra of polynomials over a field, the ideals in that algebra, and the prime factorization of a polynomial.
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A third method of solving quadratic equations that works with both real and imaginary roots is called completing the square. 1. Put the equation into the form .
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