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Unformatted text preview: 9a2b3 Multiply Monomial & Binomial Simplify –3x(4x2 – x + 10)
To do this, we have to distribute the –3 x throughout the parentheses: –3x(4x2 – x + 10) = –3x(4x2) – 3x(–x) – 3x(10) = –12x3 + 3x2 – 30x The next step up is a twoterm polynomial times a two term polynomial. This is the simplest of the "multiterm times multiterm" cases. There are actually three ways: Simplify (x + 3)(x + 2) The first way we can do this is "horizontally"; in this case, however, we have to distribute twice, taking each of the terms in the first parentheses "through" each of the terms in the second parentheses: (x + 3)(x + 2) = (x + 3)(x) + (x + 3)(2) = x(x) + 3(x) + x(2) + 3(2) = x2 + 3x + 2x + 6 = x2 + 5x + 6 Simplify (x + 3)(x + 2) You need to be sure to do the work very neatly.
set up the multiplication: ...and then multiply: x+2 × x 2 + 2x
x2 + 5x + 6 You get the same answer as before: x2 + 5x + 6 x+3
3x + 6 There is also a special method, useful ONLY for a two term polynomial times an...
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