Questions and Answers
What is the classification of the polynomial 2p⁴ + p³?
What type of polynomial is 2x²?
What is the classification of the polynomial 7?
Constant Monomial
What is the classification of the polynomial -5n⁴ + 10n - 10?
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How is 6n classified?
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What is the classification of the polynomial -9n + 10?
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What is the classification of the polynomial 7n⁵ - 9n² + 13n?
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What is the classification of the polynomial 8p⁵ - 5p³ + 2p² - 7?
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What is the classification of the polynomial -8n⁴ + 5n³ - 2n² - 8n?
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What is the classification of the polynomial 9x² + 3x?
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How is 9r⁶ - 8 classified?
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What is the classification of the polynomial 2n⁵?
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What is the classification of 4x - 9x² + 4x³ - 5x⁴?
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What is the classification of -4 - 2a² + 8a?
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What is the classification of the polynomial -1?
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What is the classification of the polynomial 4?
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What is the classification of -10k⁴ + k² - k?
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What is the classification of 5x⁷ + 9x - 3?
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What is the classification of the polynomial 7n³?
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What is the classification of the polynomial 18n³ + 9n?
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What is the classification of the polynomial 6n² - 10n³ + 7n - 2?
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What is the classification of 8n - 2?
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What is the classification of the polynomial 12n⁸?
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What is the classification of 27n⁴ - 2n² + n?
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Study Notes
Classifying Polynomials by Degree and Terms
- Polynomials can be classified based on their degree and the number of terms they contain.
- Degrees are determined by the highest exponent of the variable in the expression.
Polynomial Degrees and Types
- 4th Degree Binomial: 2p⁴ + p³ contains two terms with the highest exponent of 4.
- Quadratic Monomial: 2x² has one term and a degree of 2.
- Constant Monomial: 7 is a single term with no variable, thus it is constant.
- 4th Degree Trinomial: -5n⁴ + 10n - 10 has three terms, with the highest degree being 4.
- Linear Monomial: 6n is a single-term polynomial with a degree of 1.
- Linear Binomial: -9n + 10 contains two terms with degree 1.
- 5th Degree Trinomial: 7n⁵ - 9n² + 13n consists of three terms, highest degree of 5.
- 5th Degree Polynomial: 8p⁵ - 5p³ + 2p² - 7 features four terms with a highest degree of 5.
- 4th Degree Polynomial with Four Terms: -8n⁴ + 5n³ - 2n² - 8 has four terms and a highest degree of 4.
- Quadratic Binomial: 9x² + 3x has two terms with a degree of 2.
- Sixth Degree Binomial: 9r⁶ - 8 consists of two terms, highest degree of 6.
- 5th Degree Monomial: 2n⁵ is a single term polynomial with a degree of 5.
- 4th Degree Polynomial with Four Terms: 4x - 9x² + 4x³ - 5x⁴ includes four terms, highest degree of 4.
- Quadratic Trinomial: -4 - 2a² + 8a has three terms and a degree of 2.
- Constant Monomials: -1 and 4 are both single terms with no variable components.
- 4th Degree Trinomial: -10k⁴ + k² - k is made up of three terms, highest degree being 4.
- Seventh Degree Trinomial: 5x⁷ + 9x - 3 contains three terms with a highest degree of 7.
- Cubic Monomial: 7n³ is a single term with a degree of 3.
- Cubic Binomial: 18n³ + 9n has two terms, highest degree of 3.
- Cubic Polynomial with Four Terms: 6n² - 10n³ + 7n - 2 includes four terms and the highest degree is 3.
- Linear Binomial: 8n - 2 consists of two linear terms.
- Eighth Degree Monomial: 12n⁸ has one term and a highest degree of 8.
- 4th Degree Trinomial: 27n⁴ - 2n² + n features three terms with a degree of 4.
- Cubic Binomial: 31n³ + 17n has two terms and a degree of 3.
- 5th Degree Binomial: 11x + x⁵ includes two terms; the highest degree is 5.
- 4th Degree Polynomial with Five Terms: 9n⁴ + 7n³ - 13n² + 2n + 16 consists of five terms, highest degree is 4.
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Test your knowledge on polynomials by degree and terms with these flashcards. Learn to classify various polynomial expressions, from monomials to trinomials. Ideal for students looking to improve their understanding of algebraic structures.
