Classifying Polynomials Degree of a Polynomial The degree
- Slides: 18
Classifying Polynomials
Degree of a Polynomial The degree of a polynomial is calculated by finding the largest exponent in the polynomial.
Degree of a Polynomial (Each degree has a special “name”) 9
Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant
Degree of a Polynomial (Each degree has a special “name”) 9 8 x No variable Constant 1 st degree Linear
Degree of a Polynomial (Each degree has a special “name”) 9 8 x 7 x 2 + 3 x No variable Constant 1 st degree Linear 2 nd degree Quadratic
Degree of a Polynomial (Each degree has a special “name”) 9 8 x 7 x 2 + 3 x 6 x 3 – 2 x No variable Constant 1 st degree Linear 2 nd degree Quadratic 3 rd degree Cubic
Degree of a Polynomial (Each degree has a special “name”) 9 8 x 7 x 2 + 3 x 6 x 3 – 2 x 3 x 4 + 5 x – 1 No variable Constant 1 st degree Linear 2 nd degree Quadratic 3 rd degree Cubic 4 th degree Quartic
Degree of a Polynomial (Each degree has a special “name”) 9 8 x 7 x 2 + 3 x 6 x 3 – 2 x 3 x 4 + 5 x – 1 2 x 5 + 7 x 3 No variable Constant 1 st degree Linear 2 nd degree Quadratic 3 rd degree Cubic 4 th degree Quartic 5 th degree Quintic
Degree of a Polynomial (Each degree has a special “name”) 9 8 x 7 x 2 + 3 x 6 x 3 – 2 x 3 x 4 + 5 x – 1 2 x 5 + 7 x 3 5 xn No variable Constant 1 st degree Linear 2 nd degree Quadratic 3 rd degree Cubic 4 th degree Quartic 5 th degree Quintic 6 th degree or higher “nth” degree
Let’s practice classifying polynomials by “degree”. 1. 2. 3. 4. 5. 6. 7. 8. 9. POLYNOMIAL 3 z 4 + 5 z 3 – 7 15 a + 25 185 2 c 10 – 7 c 6 + 4 c 3 - 9 2 f 3 – 7 f 2 + 1 15 y 2 9 g 4 – 3 g + 5 10 r 5 – 7 r 16 n 7 + 6 n 4 – 3 n 2 1. 2. 3. 4. 5. 6. 7. 8. 9. DEGREE NAME Quartic Linear Constant Tenth degree Cubic Quadratic Quartic Quintic Seventh degree The degree name becomes the “first name” of the polynomial.
Naming Polynomials (by number of terms)
Naming Polynomials (by number of terms) One term Monomial
Naming Polynomials (by number of terms) One term Monomial Two terms Binomial
Naming Polynomials (by number of terms) One term Monomial Two terms Binomial Three terms Trinomial
Naming Polynomials (by number of terms) One term Monomial Two terms Binomial Three terms Trinomial Four (or more) Polynomial with 4 (or more) terms
Let’s practice classifying a polynomial by “number of terms”. Polynomial 1. 2. 3. 4. 5. 6. 7. 8. 15 x 2 e 8 – 3 e 7 + 3 e – 7 6 c + 5 3 y 7 – 4 y 5 + 8 y 3 64 2 p 8 – 4 p 6 + 9 p 4 + 3 p – 1 25 h 3 – 15 h 2 + 18 55 c 19 + 35 1. 2. 3. 4. 5. 6. 7. 8. Classify by # of Terms: Monomial Polynomial with 4 terms Binomial Trinomial Monomial Polynomial with 5 terms Trinomial Binomial
Can you name them now? 1. 2. 3. 4. 5. POLYNOMIAL 5 x 2 – 2 x + 3 2 z + 5 7 a 3 + 4 a – 12 -15 27 x 8 + 3 x 5 – 7 x + 4 6. 9 x 4 – 3 7. 10 x – 185 8. 18 x 5 CLASSIFICATION / NAME 1. Quadratic Trinomial 2. Linear Binomial 3. Cubic Trinomial 4. Constant Monomial 5. 8 th Degree Polynomial with 4 terms. 6. Quartic Binomial 7. Linear Binomial 8. Quintic Monomial
- Naming polynomials by degree
- Whats the degree of a polynomial
- Classifying polynomials
- Factoring is the process of
- Parts of a polynomial
- Constant monomial
- Quintic monomial
- Classify polynomials
- Classifying polynomials
- Unit 6 polynomials and polynomial functions
- Polynomial review
- Matplotlib inline
- How to divide a polynomial by another polynomial
- Factoring higher degree polynomials
- What is a cubic binomial
- Linear quadratic and cubic polynomials
- Polynomial review
- Polynomial functions of higher degree with modeling
- Polynomial names by degree and number of terms