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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Monomial and Binomial Expressions

As emphasized previously, the distributive property proves important when carrying out multiplication operations. When you multiply a polynomial by an expression consisting of only one term, you apply the single term to each of the terms in the polynomial expression. Here is an example:

3x (4x + 2) 
(3x)(4x) + 3x (2)3x applied to both of the terms in the binomial.
12x2 + 6xCompleting the multiplications.

When you work with binomial expressions, the same practice applies. You must apply both of the terms in the first expression to both of the terms in the second expression. A common form of binomial multiplication problem involves two binomials that add terms:

(x + 6)(x + 5)Binomial expressions.
x(x + 5)+ 6(x + 5) ...

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