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Polynomials and Polynomial Functions
Section 5.2 Polynomials and Polynomial Functions
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VOCAB! 1. A polynomial of one term is a Monomial.
2. A polynomial of two terms is a Binomial. 3. A polynomial of three terms is a Trinomial. 4. The Degree of a term is the sum of the exponents of all variables in the term. 5. The Degree of the polynomial is the greatest degree of any of the terms.
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Write in descending order, state the degree and ‘name’ of each.
1. 5r4 – 3r5 + 8r m4n – m2n + ½ m2 3 . 4
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Addition / Subtraction
To ADD: combine like terms. (Recall, like terms must have the same variable and exponent.) To SUBTRACT: distribute the negative to the second polynomial, then combine like terms.
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Add or Subtract. 1. (4x3 – 3x + 4) – (6x3 – 3x2 + 5)
2. (5n4 + 9n3 – n2- 3) + (6n3 – 4n2 + 2n - 6) 3. (-5w3 – 2w+ 4) – (6w3 + 3w + 5) 4. (4y2 – 8y + 1) + (5y2 + 3y - 5) – (2y – 5)
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