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Specific Terms Polynomials Specific Terms Polynomials – is one term or the sum of two or more terms. Monomials – is a polynomial with one term Binomial – is a polynomial with two terms. Trinomial – is a polynomial with three terms. review 1. Rearrange the variables so all like terms are side by side (work from left to right recording largest term to smallest) Example: - 4k + 9 + 3k – 2 + k – 2k Rearranged: - 4k – 2k + 3k + k + 9 - 2 review 2. The sign in front of the number comes with the number - 4k – 2k + 3k + k + 9 - 2 review 3. Perform the operation as if every variable is a number. - 4k – 2k + 3k + k + 9 - 2 = (- 4 – 2 + 3 + 1) k + 7 = -2k + 7 Whole Number A whole number is the set of numbers 0, 1, 2, 3, 4, 5, 6, …………… etc. Is X/1 a whole number? Polynomials In a polynomial, exponents that occur with variables are whole numbers. 1 Since x = x-1, 1 x is not a polynomial because x-1 is a negative exponent which is not a whole number but an integer. Monomials All of these are None of These Which of these Monomials are Monomials Are? 3x2 3x + 4 3x + 2 4x -6m3 7x2y -½bc 4y2 – y -2 z -5y2 x -6xy Binomials All of these are None of These Which of these Binomials are Binomials Are? 1 x2 – 4xy 3x + 7 3x5 2 2y2 – y x2 -5x +7 -2x2y2 4 – x4 ½z3 – 4zy 1+1 a b +1 3a2 – 2a + 4 1 -5 a Trinomials All of these are None of These Which of these Trinomials are Trinomials Are? 1 5 3x4 + 7x - 6 5x4 – 2xy 1 – 2x + x 4ab – 2bc + c2 1 – 4x – 3y2 3a + 7 6x3 2 - y2 +2z -4 x2 – 3a2 + 4 x2 + 1 -x 2 y Polynomials All of these are None of These Which of these Polynomials are Polynomials Are? -2 3y 2 3a3 + 5z2 - 14 2x + - 4y3 z x 1 3x3 – 5x + y - 7 3x + 2 x 2 2 -5y -3xy 4a2 - b +1 -x 11 – a2 Examples Please copy the example Class work Page 323 #3-5ab Page 324 #11,12,15,18,20