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2 +add sub polys.notebook April 26, 2018 Polynomial a term or the sum of terms such as x, 5x 2 , or 3xyz 4 Definition an algebraic expression with one or more terms Classification by terms 1 term 2 terms 3 terms monomial 10,3x 2 , 10ab binomial 2x+5, 2+a trinomial 3x 2 +x5 Polynomial degree name 5 2x+4 3x 2 4x+1 8x 3 +x 0 1 2 3 highest power of exponent constant linear quadratic cubic Nonexamples x 3 x 1/2 standard form: leading coefficient: highest power down to lowest power the coefficient of the first term when the polynomial is in std form 4 x Adding and Subtracting Polynomials 1) (3x 4 2x 3 + 5x 2 )+(7x 2 + 9x 3 2x) 2) (7x 2 3x + 6)+(9x 2 + 6x 11) (vertical and horizontal format) 3) (3x 2 9x) (2x 2 5x+ 6) 4) (11x 2 + 6x 1) (2x 2 7x + 5) "Algebra Tiles" + + + x 2 x 1 x 2 x 1 (2x 2 +5x3)+(x 2 3x+1) (3x 2 + x 1) + (2x 2 4x + 2) (2x 2 +5x3) (x 2 + 3x+1) + + + + + + + +
