**Summary: ** Chapter P. Prerequisites: Fundamental Concepts of Algebra.P.1 Algebraic Expressions, Mathematical Models, and Real Numbers1. Evaluate algebraic expressions.2. Use mathematical models.3. Find the intersection of two sets.4. Find the union of two sets.5. Recognize subsets of the real numbers.6. Use inequality symbols.7. Evaluate absolute value.8. Use absolute value to express distance.9. Identify properties of the real numbers.10. Simplify algebraic expressions.P.2 Exponents and Scient ...show moreific Notation1. Use the product rule.2. Use the quotient rule.3. Use the zero-exponent rule.4. Use the negative-exponent rule.5. Use the power rule.6. Find the power of a product.7. Find the power of a quotient.8. Simplify exponential expressions.9. Use scientific notation.P.3 Radicals and Rational Exponents1. Evaluate square roots.2. Simplify expressions of the form ?a23. Use the product rule to simplify square roots.4. Use the quotient rule to simplify square roots.5. Add and subtract square roots.6. Rationalize denominators.7. Evaluate and perform operations with higher roots.8. Understand and use rational exponents.P.4 Polynomials1. Understand the vocabulary of polynomials.2. Add and subtract polynomials.3. Multiply polynomials.4. Use FOIL in polynomial multiplication.5. Use special products in polynomial multiplication.6. Perform operations with polynomials in several variables.Mid-Chapter Check PointP.5 Factoring Polynomials1. Factor out the greatest common factor of a polynomial.2. Factor by grouping.3. Factor trinomials.4. Factor the difference of squares.5. Factor perfect square trinomials.6. Factor the sum or difference of two cubes.7. Use a general strategy for factoring polynomials.8. Factor algebraic expressions containing fractional and negative exponents.P.6 Rational Expressions1. Specify numbers that must be excluded from the domain of rational expressions.2. Simplify rational expressions.3. Multiply rational expressions.4. Divide rational expressions.5. Add and subtract ...show less

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