Characteristics of polynomials

Lessons

• Introduction
  a)

  What is a polynomial?

  • Review on Variables, Coefficients, and Expressions
  • What are Monomials, Binomials, and Trinomials?
  • What are the Degree, Leading Term, and Constant term of a polynomial?
  • Name polynomials based on degree: Quadratic, Cubic, Quartic, Quintic, etc.
  
  
  b)

  How to find the degree of a polynomial?
  
  

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• 1.
  Determine the number of terms and the name for each of the expression.
  a)

  $- 5{y^2}$
  
  
  b)

  $2{x^2} + 4x + 6$
  
  
  c)

  $- 7.3$
  
  
  d)

  $y^3 + ay + nx - x^2$
  
  

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• 2.
  Find the degree and number of terms for each of the following expression.
  a)

  $2xy - 3{y^2} + 6$
  
  
  b)

  $4{a^3} + a$
  
  
  c)

  $- 4$
  
  

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• 3.
  Write the expression for each set of the algebra tiles.
  a)

  
  
  
  
  
  b)

  
  
  
  
  
  c)

  
  
  
  
  

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• 4.
  Peter wants to buy some comic books and magazines. A bookstore sells comic books for $12 each and magazines for $8 each.
  a)

  Write an expression to represent the money Peter needs to spend on both comic books and magazines.
  
  
  b)

  How much does Peter need to spend if he wants 9 comic books and 3 magazines?
  
  
  c)

  Write a new expression for Peter's expenditure on books if the bookstore raises the price of a comic book to $15 and a magazine to $10.
  
  

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