Poly digi

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1. 1. The cost of 3 pens and 4 pencils is Rs. 50. Express in symbolic Form. + = 50 A: 3 x + 4y = 50 2. 2. In a Garden the plants are in ‘x’ rows and ‘y’ columns.…
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  • 1. 1. The cost of 3 pens and 4 pencils is Rs. 50. Express in symbolic Form. + = 50 A: 3 x + 4y = 50
  • 2. 2. In a Garden the plants are in ‘x’ rows and ‘y’ columns. How you calculate the total plants? Give Expression. A: x.y = xy
  • 3. 3. What is the volume of Cuboid? A: l x d x h = ldh
  • 4. 3x + 4y = 50 xy Lbh x2 + 2x + 5 Algebraic Expressions. These are also called Polynomials 2 2 5x y  
  • 5. Polynomials have the Non negative integers as Exponents of the Variable. We denote Polynomials as p(x), r(x), t(x) etc.   1 1 1 n n n n op x a x a x a x a      All of these coefficients are real numbers n must be a positive integer
  • 6. For Example: Algebraic Expressions Polynomials 2 1 2 2 2 2 3 3 2 5 x x x xy y x x      2 x 2 2 x xy y  Power is Rational Number Power is Negative
  • 7. 2 r 1 3 2 2 4 2x x  2 3 5 2x x  Polynomial Not a Polynomial Polynomial
  • 8. Degree of Polynomial: The degree of the polynomial is the largest power on any x term in the polynomial. Ex: 4 2 3 2x x  2 3 2 5xy xy  Degree = 4 Degree = 3 (here xy2 = 1+2 = 3)
  • 9. x 0 2 1 xx  Not a polynomial because of the square root since the power is NOT an integer   xxxf  4 2 A polynomial of degree 4.   2xg   12  xxh   23 x x xF  A polynomial of degree 0. We can write in an x0 since this = 1. Not a polynomial because of the x in the denominator since the power is negative 11   x x
  • 10. TYPES OF POLYNOMIALS ACCORDING TO DEGREE: 0 Zero Polynomial -12, 5 etc Constant Polynomial x – 12, ax + b etc Linear Polynomial Quadratic Polynomial Cubic Polynomial 2 3 3x x  3 2 3 2 5 7x x x  
  • 11. ACCORDING TO TERMS: Monomial Binomial Trinomial Multinomial 2 3 , 2 ,x x x 2 2 1,5 1x x  2 3 2 1x x  More than 3 terms
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