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The word FOIL is an acronym for the four terms of the product: First ("first" terms of each binomial are multiplied together) Outer ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second) Inner ("inside" terms are multiplied—second term of the first binomial and first term of the second)
For instance, if one had x×x, the only algebra tile that would complete the rectangle would be x 2, which is the answer. Multiplication of binomials is similar to multiplication of monomials when using the algebra tiles . Multiplication of binomials can also be thought of as creating a rectangle where the factors are the length and width. [2]
However, until the late 1970s, most minicomputers did not have a multiply instruction, and so programmers used a "multiply routine" [1] [2] [3] which repeatedly shifts and accumulates partial results, often written using loop unwinding. Mainframe computers had multiply instructions, but they did the same sorts of shifts and adds as a "multiply ...
More formally, multiplying two n-digit numbers using long multiplication requires Θ(n 2) single-digit operations (additions and multiplications). When implemented in software, long multiplication algorithms must deal with overflow during additions, which can be expensive. A typical solution is to represent the number in a small base, b, such ...
From April 2012 to December 2012, if you bought shares in companies when Franz B. Humer joined the board, and sold them when he left, you would have a 12.8 percent return on your investment, compared to a 2.5 percent return from the S&P 500.
Grease a 2-cup (or slightly larger) ramekin or small baking dish with nonstick cooking spray or butter. In a medium bowl, combine the cream cheese, drained crab meat, chives, Old Bay seasoning ...
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
Samuel Sierra, 35, was arrested around 7:20 p.m. Friday night in East Harlem and charged with first-degree rape, second-degree strangulation and third-degree assault, police confirmed. The attack ...