College algebra

College algebra / Darwin P. Paguio [and others] ; Edwin D. Ibañez, editor - iv, 413 pages

Includes bibliographical references

Set of real numbers Real numbers Properties of real numbers Properties of equality Definition of subtraction and division Operation on signed numbers Powers and roots of signed numbers Performing series of operations Algebraic Expressions Polynomials Addition and subtraction of algebraic expressions Simplification of algebraic expression involving grouping symbols Multiplication of algebraic expressions Division of algebraic expressions Synthetic division Special products and factoring Special products Distributive property Product of sum and difference of two terms Square of the sum or difference of two terms Product of two binomials Cube of the sum and difference of two terms Product giving sum and difference of two cubes Square of a trinomial Factoring Common factors Difference of two squares Perfect square trinomial Factoring trinomials of the form Factors of a quadratic trinomial Factoring sum and difference of two cubes Factoring by grouping Algebraic fractions Simplification of algebraic fractions Sign of a fraction Multiplication and division of fractions Complex fraction Exponents and radicals Integral exponents and laws of exponent Fractional exponents and radicals Simplest radical form Addition and subtraction of radicals Multiplication and division of radicals Rationalization of denominators Linear equations in one variable Basic definitions Linear equations in one unknown Rewriting formula Verbal problems Systems of linear equation Elimination method Substitution method Graphical method Solution by determinants Word problems involving systems of linear equations in two unknowns Systems of linear equations in three unknowns Inequalities Linear inequalities Quadratic inequalities Rational inequalities Absolute values in inequalities Quadratic equation Solutions of quadratic equation Solution by factoring Solution by completing the square Solutions of quadratic formula The nature of quadratic roots Problems involving quadratic equations

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Algebra



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