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Naming Polynomials Flashcards
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Naming Polynomials Flashcards

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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

<p>Constant Monomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: x³-3x²+24x-19

<p>Cubic Polynomial with 4 terms</p> Signup and view all the answers

Name the following polynomial by degree and terms: -5x²+3x-9

<p>Quadratic Trinomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 14x-9

<p>Linear Binomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 3x²-7x

<p>Quadratic Binomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 8x³

<p>Cubic Monomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 734

<p>Constant Monomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 32x

<p>Linear Monomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: -12x²

<p>Quadratic Monomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: x³-5x²

<p>Cubic Binomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 9x³+8x-7

<p>Cubic Trinomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: -19

<p>Constant Monomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 9x²+8x-7

<p>Quadratic Trinomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 15x-32x²

<p>Quadratic Binomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 4+19x³

<p>Cubic Binomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 7-x-12x³

<p>Cubic Trinomial</p> Signup and view all the answers

Name the following polynomial by degree and terms: 8x+3x²-5

<p>Quadratic Trinomial</p> 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.

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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.

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