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Hiral  polynomials mini
 

Hiral polynomials mini

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    Hiral  polynomials mini Hiral polynomials mini Presentation Transcript

    • K.J. Somaiya Comprehensive College of Education, Training and Research. Name – Hiral Thaker. Std – VIII th. Roll No. – 72. Year 2010 – 2011
    • What does each prefix mean?
      • mono
      • one
      • bi
      • two
      • tri
      • three
      • poly
      • one or more
      • Polynomial
    • Objectives The student will be able to:
      • Define polynomial.
      • Classify polynomial.
      • 3. Find the degree of a polynomial.
    • Polynomial
      • one or more
      • A polynomial is a mathematical expression with one or more terms and index of every variable has to be a whole number.
      • Eg. 1. 5x 3
      • 2. 8y + 7z 2
      • 3. m 2 – 3m + 4
    • Important Note!!
      • An expression is not a polynomial if there is a variable in the denominator or the index of the variable is negative or a fraction .
      • Eg. 4x – 7x -2
      • 10m + 7m 7/2
    • Classification of polynomials
      • Polynomial
      • Monomial Binomial Trinomial
    • Monomial A polynomial of only one term is called a monomial. Eg. -17. 62p. 53a 4 b 3 c.
    • Binomial
      • A polynomial of two terms is called a binomial.
      • Eg. 3p + 9.
      • 4 – 5a.
      • 17 – b 3 .
    • Trinomial
      • A polynomial of three terms is called trinomial.
      • Eg. x 2 + 2x + 2.
      • a - 9 + 2a 2 .
      • 13 + n 3 – 6n.
    • State whether each expression is a polynomial. If it is, identify it.
      • 1) 7y - 3x + 4
      • trinomial
      • 2) 10x 3 yz 2
      • monomial
      • 3)
      • not a polynomial
    • Which polynomial is represented by
      • x 2 + x + 1
      • x 2 + x + 2
      • x 2 + 2x + 2
      • x 2 + 3x + 2
      • I’ve got no idea!
      X 2 1 1 X X X
    • The degree of a monomial is the sum of the exponents of the variables. Find the degree of each monomial.
      • 1) 5x 2
      • 2
      • 4a 4 b 3 c
      • 8
      • -3
      • 0
    • To find the degree of a polynomial, find the largest degree of the terms.
      • 1) 8x 2 - 2x + 7
      • Degrees: 2 1 0
      • Which is biggest? 2 is the degree!
      • 2) y 7 + 6y 4 + 3x 4 m 4
      • Degrees: 7 4 8
      • 8 is the degree!
    • Find the degree of x 5 – x 3 y 2 + 4
      • 0
      • 2
      • 3
      • 5
      • 10
    • Evaluation ???
      • Q.1)Define polynomial.
      • Ans. A polynomial is a mathematical expression with one or more terms and index of every variable has to be a whole number.
      • Q.2)Are the following expression polynomials ?
      • 4a 4 + a 3 - 14.
      • Ans. Yes, it is a polynomial.
      • 12 + 10 p -2
      • Ans. No, it is not a polynomial.
    • Q.3) State the degree of polynomial
      • 1) x 3 - 2x + 7
      • Degrees: 3 1 0
      • Which is biggest? 3 is the degree!
      • 2) 8y 7 + y 4 + x 3 m 4
      • Degrees: 7 4 7
      • 7 is the degree!
      • Thank You !!!