{"id":28832,"date":"2021-03-30T13:00:36","date_gmt":"2021-03-30T13:00:36","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28832"},"modified":"2024-09-22T02:04:17","modified_gmt":"2024-09-22T02:04:17","slug":"factorization-of-quadratic-and-2n-quadratic-polynomials","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/en\/factorization-of-quadratic-and-2n-quadratic-polynomials\/","title":{"rendered":"Factorization of Quadratic and 2n-Quadratic Polynomials"},"content":{"rendered":"

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Factorization of Quadratic and 2n-Quadratic Polynomials<\/h1>\n

Summary:<\/strong>
\n In this class, we will review in detail the process of factoring quadratic polynomials P(x) = ax^2 + bx + c<\/span> and (2n)<\/span>-quadratic polynomials P(x) = ax^{2n} + bx^n + c<\/span>, breaking them down into simple factors. The procedures will be mathematically developed, and practical examples will be shown.<\/em><\/p>\n

Learning Objectives<\/strong><\/p>\n

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  1. Learn<\/strong> how to factor quadratic polynomials of the form P(x) = ax^2 + bx + c<\/span>.<\/li>\n
  2. Derive<\/strong> and use the quadratic formula x = \\displaystyle \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}<\/span> to find the roots.<\/li>\n
  3. Apply<\/strong> factoring techniques to (2n)<\/span>-quadratic polynomials of the form P(x) = ax^{2n} + bx^n + c<\/span>.<\/li>\n
  4. Recognize<\/strong> the necessary conditions for factoring quadratic polynomials.<\/li>\n
  5. Use<\/strong> the method of completing the square in the factoring process.<\/li>\n<\/ol>\n

    TABLE OF CONTENTS:<\/strong>
    \n Introduction<\/a>
    \n     Quadratic and (2n)-Quadratic Polynomial<\/a>
    \n     Factoring the quadratic polynomial<\/a>
    \n     Expanding to the factorization of the bi-quadratic polynomial<\/a>
    \n     Example exercises<\/a>\n <\/p>\n

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