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Polynomials

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Polynomials

  1. 1.  Understand the concept of polynomials.  Enhance the skill to apply the four fundamental operations involving polynomials.  Verbal statements are transacted into algebraic sentences.
  2. 2. Look at the algebraic expressions     153x 10x  x2 2 3 35x  24x  4x x  x 2
  3. 3. A polynomial is usually written with the exponents of x in descending order, the number without x at the end. For example, is usually written as 2 3 x x x 35  24  4 3 2 x x x 4  24  35
  4. 4. Can you rewrite all the polynomials in slide 4 in this form? For example : 15+3x can be written as 3x+15
  5. 5. Answers 2) 3) 2 x x   10 x  x  x 4) x  x 2 3 2 4 24 35
  6. 6. A stone thrown upwards with a speed of 20 meters per second. Find an algebraic expressions which gives the speed of the stone at various times.
  7. 7. Solution: Speed of the stone = 20m/sec Speed of the stone losses at the rate of 9.8 m/sec. If the lose of speed in one second is denoted by ‘x’ , the speed of stone at various times =20-9.8x
  8. 8. The knowledge about polynomials is very important in the study of all the areas of mathematics. The main aim of this presentation is to enable the students to understand the idea of a polynomial, to frame a polynomial with the verbal statements given. Hope you have realized the objectives set for the lesson…
  9. 9.  Algebraic expressions consisting of just one term is called a monomial.  A sum of exactly two monomials is called a binomial.  A sum of exactly three monomials is called trinomial.  An algebraic expression in which the variables involved have only non-negative integral powers, is called a polynomial.  A polynomial is usually written with the exponents of x in descending order, the number without x at the end.
  10. 10. For more interesting facts: http://www.mathsisfun.com /algebra/ polynomials.html http://mathonweb.com/hel p_ebook/html/ poly_0.htm
  11. 11. REVIEW. • Rewrite the polynomials : a. 28+2x (2x+28) b. 40+14x+x² (x² +14x+40) c. 20-9.8x (-9.8x+20) • Find algebraic expressions which give the perimeter and areas of all rectangles with length 1 cm more than the breadth. (x²+x sq. cm) Note: Hints are given in brackets .

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