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Mathematics LibreTexts

1: Prerequisites

  • Page ID
    50159
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    In this chapter, we will review sets of numbers and properties of operations used to manipulate numbers. This understanding will serve as prerequisite knowledge throughout our study of algebra and trigonometry.

    • 1.0: Prelude to Prerequisites
    • 1.1: Real Numbers - Algebra Essentials
      In this section, we will explore sets of numbers, calculations with different kinds of numbers, and the use of numbers in expressions.
    • 1.2: Exponents and Scientific Notation
    • 1.3: Radicals and Rational Expressions
    • 1.4: Polynomials
      In this section, we will examine polynomials, which are sums of or differences of terms, each consisting of a variable raised to a nonnegative integer power.
    • 1.5: Factoring Polynomials
      The greatest common factor, or GCF, can be factored out of a polynomial. Checking for a GCF should be the first step in any factoring problem. Trinomials with leading coefficient 1 can be factored by finding numbers that have a product of the third term and a sum of the second term. Trinomials can be factored using a process called factoring by grouping. Perfect square trinomials and the difference of squares are special products and can be factored using equations.
    • 1.6: Rational Expressions
      The quotient of two polynomial expressions is called a rational expression. We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator.

    Thumbnail: A shortcut called FOIL is sometimes used to find the product of two binomials. It is called FOIL because we multiply the first terms, the outer terms, the inner terms, and then the last terms of each binomial.

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    This page titled 1: Prerequisites is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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