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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
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Name the following polynomial by degree and terms: x³-3x²+24x-19
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Name the following polynomial by degree and terms: -5x²+3x-9
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Name the following polynomial by degree and terms: 14x-9
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Name the following polynomial by degree and terms: 3x²-7x
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Name the following polynomial by degree and terms: 8x³
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Name the following polynomial by degree and terms: 734
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Name the following polynomial by degree and terms: 32x
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Name the following polynomial by degree and terms: -12x²
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Name the following polynomial by degree and terms: x³-5x²
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Name the following polynomial by degree and terms: 9x³+8x-7
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Name the following polynomial by degree and terms: -19
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Name the following polynomial by degree and terms: 9x²+8x-7
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Name the following polynomial by degree and terms: 15x-32x²
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Name the following polynomial by degree and terms: 4+19x³
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Name the following polynomial by degree and terms: 7-x-12x³
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Name the following polynomial by degree and terms: 8x+3x²-5
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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
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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.