|
Polynomials are named based on two criteria: Polynomials are named based on two criteria: 1. the highest exponent (degree) Polynomials are named based on two criteria: 1. the highest exponent (degree) 2. the number of terms Polynomials are named based on two criteria: So when given a polynomial 1. the highest exponent (degree) 2. the number of terms Polynomials are named based on two criteria: So when given a polynomial 1. the highest exponent (degree) 2. the number of terms x3-4x2+3x-1 Polynomials are named based on two criteria: So when given a polynomial The highest exponent (degree) is three 1. the highest exponent (degree) 2. the number of terms x3-4x2+3x-1 highest exponent Polynomials are named based on two criteria: So this is a "cubic polynomial with four terms". So when given a polynomial The highest exponent (degree) is three 1. the highest exponent (degree) 2. the number of terms and the number of terms is four x3-4x2+3x-1 1 2 3 4 four terms Here are two charts that will help us in classification 4 0 1 3 2 5 Exponent (Degree) constant linear quadratic quartic quintic cubic 1 4 3 2 Terms monomial Polynomial of 4 terms binomial trinomial 0 1 2 3 4 5 Degree constant linear quartic quintic quadratic cubic Determine the degree: x2 – 5 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Cubic Quadratic Linear Constant 0 1 2 3 4 5 Degree constant linear quartic quintic quadratic cubic Classify by the number of terms. x2 – 5 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Four terms Trinomial Binomial Monomial 0 1 2 3 4 5 Degree constant linear quartic quintic quadratic cubic Classify the polynomial. x2 – 5 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Quadratic Binomial Quadratic Monomial Linear Binomial Linear Monomial 0 1 2 3 4 5 Degree constant linear quartic quintic quadratic cubic Match the polynomial with the name x3-5x+1 5 x5 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Constant Monomial ? Quintic Monomial ? Cubic Trinomial ? 0 1 2 3 4 5 Degree constant linear quartic quintic quadratic cubic Match the polynomial with the name 2x4-x3 x-5 x1 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Quartic Binomial ? Linear Monomial ? Linear Binomial ? 0 1 2 3 4 5 Degree constant linear quartic quintic quadratic cubic Match the polynomial with the name 2x – x3 x - 5 x2 + 3x + 2 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Quadratic Trinomial ? Cubic Binomial ? Linear Binomial ? 0 1 2 3 4 5 Degree constant linear quartic quintic quadratic cubic Match the polynomial with the name x3-5x4 + 1 x2 – 5x + 4 5 – x3 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Cubic Binomial ? Quadratic Trinomial ? Quartic Trinomial ? Standard form for polynomials: Largest exponentis first and letters are in alphabetical order x3+5x2-x-3 xy3-xy+y3-5y2 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(5x2 + 6x - 8) + (8x2 - 3x)
1. remember to write your answer in standard form 2. Use "^" to create an exponent
(3x2 - 9) + (2x2 - x - 5)
1. remember to write your answer in standard form 2. Use "^" to create an exponent
(x3 - 9x2) + (x2 - 5) 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(7x2 + 9x) - (2x2 - 5) 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(12x2 + 6x) - (x2 - 3x+4) 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(8x2 + 3x - 2) - (10x2 + 3x - 4) 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(-4x2 + x - 5) - (x2 - x - 3) 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(5x4+6x3-7) + (x5+7x4-6x3 - x - 3) 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(-4x2 + x - 5) - (-4x2 + x - 3) 1. remember to write your answer in standard form 2. Use "^" to create an exponent
(-4x2 + x - 5) - (x2 - x - 3) |