Questions and Answers
Name the following polynomial by degree and terms: x²-3x+78
Quadratic Trinomial
Name the following polynomial by degree and terms: 18+2x³
Cubic Binomial
Name the following polynomial by degree and terms: 2x
Linear Monomial
Name the following polynomial by degree and terms: -36
Signup and view all the answers
Name the following polynomial by degree and terms: x³-3x²+24x-19
Signup and view all the answers
Name the following polynomial by degree and terms: -5x²+3x-9
Signup and view all the answers
Name the following polynomial by degree and terms: 14x-9
Signup and view all the answers
Name the following polynomial by degree and terms: 3x²-7x
Signup and view all the answers
Name the following polynomial by degree and terms: 8x³
Signup and view all the answers
Name the following polynomial by degree and terms: 734
Signup and view all the answers
Name the following polynomial by degree and terms: 32x
Signup and view all the answers
Name the following polynomial by degree and terms: -12x²
Signup and view all the answers
Name the following polynomial by degree and terms: x³-5x²
Signup and view all the answers
Name the following polynomial by degree and terms: 9x³+8x-7
Signup and view all the answers
Name the following polynomial by degree and terms: -19
Signup and view all the answers
Name the following polynomial by degree and terms: 9x²+8x-7
Signup and view all the answers
Name the following polynomial by degree and terms: 15x-32x²
Signup and view all the answers
Name the following polynomial by degree and terms: 4+19x³
Signup and view all the answers
Name the following polynomial by degree and terms: 7-x-12x³
Signup and view all the answers
Name the following polynomial by degree and terms: 8x+3x²-5
Signup and view all the answers
Study Notes
Naming Polynomials Overview
- Polynomials are classified by their degree (highest exponent) and the number of terms they contain.
Key Definitions
- Monomial: A polynomial with one term.
- Binomial: A polynomial with two terms.
- Trinomial: A polynomial with three terms.
- Quadratic: A polynomial of degree 2.
- Cubic: A polynomial of degree 3.
- Constant: A polynomial of degree 0.
Polynomial Examples and Classifications
- x² - 3x + 78: Quadratic Trinomial
- 18 + 2x³: Cubic Binomial
- 2x: Linear Monomial
- -36: Constant Monomial
- x³ - 3x² + 24x - 19: Cubic Polynomial with 4 terms
- -5x² + 3x - 9: Quadratic Trinomial
- 14x - 9: Linear Binomial
- 3x² - 7x: Quadratic Binomial
- 8x³: Cubic Monomial
- 734: Constant Monomial
- 32x: Linear Monomial
- -12x²: Quadratic Monomial
- x³ - 5x²: Cubic Binomial
- 9x³ + 8x - 7: Cubic Trinomial
- -19: Constant Monomial
- 9x² + 8x - 7: Quadratic Trinomial
- 15x - 32x²: Quadratic Binomial
- 4 + 19x³: Cubic Binomial
- 7 - x - 12x³: Cubic Trinomial
- 8x + 3x² - 5: Quadratic Trinomial
Summary of Classification Criteria
- The degree of a polynomial refers to the highest exponent of its variable.
- The number of terms helps in classifying the polynomial as monomial, binomial, or trinomial.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on naming polynomials based on their degree and number of terms with these flashcards. Each card provides a polynomial expression for you to classify correctly. Perfect for students learning algebra or preparing for exams.
