Algebra Tutorials! Saturday 16th of February

 Home Scientific Notation Notation and Symbols Linear Equations and Inequalities in One Variable Graphing Equations in Three Variables What the Standard Form of a Quadratic can tell you about the graph Simplifying Radical Expressions Containing One Term Adding and Subtracting Fractions Multiplying Radical Expressions Adding and Subtracting Fractions Multiplying and Dividing With Square Roots Graphing Linear Inequalities Absolute Value Function Real Numbers and the Real Line Monomial Factors Raising an Exponential Expression to a Power Rational Exponents Multiplying Two Fractions Whose Numerators Are Both 1 Multiplying Rational Expressions Building Up the Denominator Adding and Subtracting Decimals Solving Quadratic Equations Scientific Notation Like Radical Terms Graphing Parabolas Subtracting Reverses Solving Linear Equations Dividing Rational Expressions Complex Numbers Solving Linear Inequalities Working with Fractions Graphing Linear Equations Simplifying Expressions That Contain Negative Exponents Rationalizing the Denominator Decimals Estimating Sums and Differences of Mixed Numbers Algebraic Fractions Simplifying Rational Expressions Linear Equations Dividing Complex Numbers Simplifying Square Roots That Contain Variables Simplifying Radicals Involving Variables Compound Inequalities Factoring Special Quadratic Polynomials Simplifying Complex Fractions Rules for Exponents Finding Logarithms Multiplying Polynomials Using Coordinates to Find Slope Variables and Expressions Dividing Radicals Using Proportions and Cross Solving Equations with Radicals and Exponents Natural Logs The Addition Method Equations
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# Multiplying Polynomials

## Examples

 What to Do How to Do It 1. Look again at the product of two binomials, and see how we use the method called the double distributive property. → (A + B)(C + D)   = A(C + D) + B(C + D)   = AC + AD + BC + BD 2. Generally, product of two linear binomials is multiplied by the method called F O Ι L. to obtain a quadratic (2nd degree) trinomial: F = the product of the first terms: O = the product of the outer terms: Ι = the product of the inner terms L = the product of the last terms Algebraically add the O + Ι = adx + bcx = Bx. (ax + b)(cx + d)   → Ax2 + Bx + C   Ax2 = axÂ·cx = acx2   C = bÂ·d = bd   acx2 + (ad +bc)x + bd .   = Ax2 + Bx + C 3. For general linear (first degree) binomials with common terms: The double distributive property is used vertically - the â€œouterâ€ and â€œinnerâ€ are placed directly below and then added algebraically along with the product of the â€œfirstsâ€ and â€œlastsâ€. The algebraic sum is the Product: → (ax + b)(cx + d)