MA220Lesson3

MA220Lesson3 - MA 220 Lesson 3 Textbook Section 5.3...

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1 MA 220, Lesson 3, Textbook Section 5.3 Multiplying Polynomials (part 1) To multiply a polynomial by any monomial multiplier, use the distributive property. Ex 1: 2 (4 2 3)(5 ) x x x  Ex 2: 2 3 2 4 (3 2 6 9) x x x x Be cautious when multiplying by a monomial with a negative coefficient. Be sure to distribute the negative sign. Ex 3: 3 4 (6 2 1) x x x When multiplying two binomials, the distributive property could be used; as illustrated below. 2 2 (4 3)(2 4) 4 (2 4) 3(2 4) 8 16 6 12 8 10 12 x x x x x x x x F O I L xx However, as seen above; the word FOIL may be used to help students remember to multiply four pairs. F (first terms in each binomial are multiplied), O (outer terms in each binomial are multiplied), I (inner terms in each binomial), and L (last terms in each). There is a good picture on page 320 of the textbook that shows logically why FOIL works by illustrating the area of a rectangle (Figure 5.3).

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MA220Lesson3 - MA 220 Lesson 3 Textbook Section 5.3...

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