Stitz-Zeager_College_Algebra_e-book

Finally to nd f 4 we substitute to get 43 22 5

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Unformatted text preview: ssion (2x − 1)3 (x − 2)(3x + 2). The leading term of p will be the term which has the highest power of x. The way to get this term is to multiply the terms with the highest power of x from each factor together - in other words, the leading term of p(x) is the product of the leading terms of the factors of p(x). Hence, the leading term of p is (2x)3 (x)(3x) = 24x5 . This means the degree of p is 5 and the leading coefficient is 24. As for the constant term, we can perform a similar trick. The constant term is obtained by multiplying the constant terms from each of the factors (−1)3 (−2)(2) = 4. 3 Technically, 00 is an indeterminant form, which is a special case of being undefined. The authors realize this is beyond pedantry, but we wouldn’t mention it if we didn’t feel it was neccessary. 182 Polynomial Functions Our next example shows how polynomials of higher degree arise ‘naturally’4 in even the most basic geometric applications. Example 3.1.3. A box with no top is to be fashioned from a 10 inch × 12 inch piece of cardboard by cutting ou...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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