01:640:111 Lecture Notes - Lecture 1: Monomial, Trinomial, Scientific Notation
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Expressions that involve addition, subtraction, multiplication, division, and/or exponents. Example: xa n a=coefficient; x=variable; n=exponent (non-negative integer) Largest power of the polynomial is considered the degree of the polynomial. Everything from first parenthesis has to be multiplied by everything in second set of parenthesis. This works regardless the amount of terms. 2x y ( x x x + x. = x + x x x x x2. = x2 x (2 degree) x)(x ( + 2. = x3 3 + 1 + 2 4 6 2 + 2 x x x x. = 2 4 + x3 6 2 x + 1 x x (4 degree) 5 y2 5 (a y y. 1 4 + x3 4 x x. 1 4 + 2 1 3. 1 4 + x3 + 2 5. Difference of squares: a2 b2 = ( b a. =(x+1)(x+5) ( + 3 2 a a. Difference of cubes: b a3 b3 = ( b.