Monomials are called similar or like ones if they are

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Unformatted text preview: SUCET, PSHS-NCE, and other entrance tests. where a, b – real numbers, i – an imaginary unit. In more details about complex numbers see the section “Complex numbers”. E x a m p l e s of complex numbers: 3 + 4 i , 7 – 13.6 i , 0 + 25 i = 25 i , 2 + i. Monomials and polynomials Monomial is a product of two or some factors, each of them is either a number, or a letter, or a power of a letter. For example, 3 a 2b 4, bd3, – 17 a b c are monomials. A single number or a single letter may be also considered as a monomial. Any factor of a monomial may be called a coefficient. Often only a numerical factor is called a coefficient. Monomials are called similar or like ones, if they are identical or differed only by coefficients. Therefore, if two or some monomials have identical letters or their powers, they are also similar (like) ones. Degree of monomial is a sum of exponents of the powers of all its letters. Addition of monomials. If among a sum of monomials there are similar ones, he sum can be reduced to the more simple form: ax3y2 –5b3x3y2+c5x3y2=(a–5b3+c5)x3y2. This operation is called reducing of like terms. Operation, done here, is called also taking out of brackets. Multiplication of monomials. A product of some monomials can be simplified, only if it has powers of the same letters or numerical coefficients. In this case exponents of the powers are added and numerical coefficients are multiplied. Example: 5 a x 3 z 8 ( – 7 a 3 x 3 y 2 ) = – 35 a 4 x 6 y 2 z 8 . Math I - 20 - Feel free to pass this on to your friends, but please don’t post it online. Discuss UPCAT and other college entrance exam questions and answers at Academic-Clinic’s Facebook Page. We encourage you to answer the questions we post there and actively participate in the discussions on our wall. For UPCAT, ACET, DLSUCET and USTET tips, tricks, news and other college entrance exam information, visit the Academic-Clinic website. Tell your friends and classmates to come find and join us. The more, the merrier. Good luck! AcademicAcademic The achiever’s guid...
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This note was uploaded on 07/21/2013 for the course UPCAT 2014 taught by Professor Otis during the Spring '13 term at University of the Philippines Diliman.

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