3.1 Polynomials How do I know if it’s a polynomial?

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Presentation transcript:

3.1 Polynomials How do I know if it’s a polynomial? Polynomial -a monomial or a sum or difference of monomials *Polynomials have no variables in denominators or exponents, no roots or absolute values of variables, and all variables have positive, whole number exponents.

3.1 Polynomials Examples of Polynomials: Not Examples of Polynomials: 3t2 – t3 2z12 + 9z3 1 2 a7 0.15x101 1 2 3x 8 5y2 |2b3 – 6b| m0.75 – m

3.1 Polynomials To find the degree of monomials-add the exponents. A. z6 B. 5.6 D. a2bc3 C. 8xy3

3.1 Polynomials Examples:

3.1 Polynomials How to classify a polynomial: Degree: Number of Terms: Constant-0 1-Monomial Linear-1 2-Binomial Quadratic-2 3-Trinomial Cubic-3 4 or more-Polynomial Quartic-4 Quintic-5

3.1 Polynomials Examples: Rewrite each polynomial in standard form. Then identify the leading coefficient, degree, and number of terms. Name the polynomial. A. 3 – 5x2 + 4x B. 3x2 – 4 + 8x4

3.1 Polynomials To add or subtract polynomials, combine like terms. You can add or subtract horizontally or vertically.

3.1 Polynomials B. (3 – 2x2) – (x2 + 6 – x) A. (2x3 + 9 – x) + (5x2 + 4 + 7x + x3 ) B. (3 – 2x2) – (x2 + 6 – x)

Classwork/Homework Pg. 80 (1-13, 19-30)