- Video 3 -Polynomials, Factoring, Quadratic Equations.
- Operations on Polynomials.
This segment covers addition, subtraction, multiplication, and long division of polynomials. The First, Outer, Inner, Last (FOIL) method for multiplying a pair of binomials is also covered.
- Factoring, Part I.
This segment covers factoring of polynomials beginning with factoring out the greatest common factor. In the case of trinomials the method of arranging terms in descending degree and inspection of signs to locate signs in the factors is covered. In the case of polynomials with four or more terms, the method of factoring by grouping is covered.
- Factoring, Part II.
This segment covers factoring binomials in the case of the difference of two perfect squares and in the case of the sum or difference of two cubes. The case of binomials which reduce to these cases after factorization of the greatest common factor is also covered.
- Solving Quadratic Equations by Factoring.
This segment covers the method of solving quadratic equations by first rearranging terms so as to force one side of the equation to be identically zero and then factoring the resulting trinomial or binomial. The factors are then used to obtain linear equations for the solutions.
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