MTH 120 Lecture Notes - Lecture 4: Hypotenuse, Pythagorean Theorem
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To multiply any two polynomials, multiply each term of the first polynomial by each term of the second. For example: (a2 1 a 2 3)(2a2 1 3a 2 1) 5 a2(2a2 1 3a 2 1) 1 a(2a2 1 3a 2 1) 2 3(2a2 1 3a 2 1) 5 (2a4 1 3a3 2 a2) 1 (2a3 1 3a2 2 a) 2 (6a2 2 9a 1 3) Note: since each of the polynomials to be multiplied has 3 terms, there are. After combining similar terms, the polynomial in simplest form has five terms. Write each of the following as a polynomial in simplest form: ab(a2 1 2ab 1 b2, (3x 2 2)(2x 1 5, (y 1 2)(y 2 2, (2a 1 1)(a2 2 2a 2 2) Solution a. ab(a2 1 2ab 1 b2) 5 a3b 1 2a2b2 1 ab3 answer: (3x 2 2)(2x 1 5) 5 3x(2x 1 5) 2 2(2x 1 5)
