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REAL NUMBERS POLYNOMIAL AND LINEAR EQUATION IN TWO VARIABLES IMPORTANT QUESTION. HARD TYPE!?
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REAL NUMBERS POLYNOMIAL AND LINEAR EQUATION IN TWO VARIABLES IMPORTANT...
Real Numbers, Polynomial and Linear Equation in Two Variables


Real Numbers


  • Real numbers are numbers that can be expressed as a decimal, fraction or irrational number.

  • They include all positive and negative numbers, and zero.

  • Real numbers can be represented on a number line.

  • The set of real numbers is denoted by the symbol ℝ.



Polynomial


  • A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction and multiplication.

  • The highest power of the variable in a polynomial is called the degree of the polynomial.

  • Polynomials can be added, subtracted and multiplied.

  • Examples of polynomials include 2x^2 + 3x - 5 and 4x^3 - 2x^2 + x + 7.



Linear Equation in Two Variables


  • A linear equation in two variables is an equation of the form ax + by = c, where a, b and c are real numbers.

  • x and y are the variables in the equation.

  • The graph of a linear equation in two variables is a straight line.

  • Examples of linear equations in two variables include 3x + 2y = 7 and 5x - 4y = 2.



Important Question


  • Solve the linear equation 2x - 3y = 12 for y.

  • Find the degree of the polynomial 5x^3 + 2x^2 - 3x + 1.

  • Find the value of x in the equation 4x - 3 = 5.

  • Factorize the polynomial x^2 - 4x - 21.

  • Graph the linear equation y = 2x + 3.



Overall, understanding real numbers, polynomials, and linear equations in two variables is important for solving mathematical problems and analyzing real-world situations.
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REAL NUMBERS POLYNOMIAL AND LINEAR EQUATION IN TWO VARIABLES IMPORTANT...
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REAL NUMBERS POLYNOMIAL AND LINEAR EQUATION IN TWO VARIABLES IMPORTANT QUESTION. HARD TYPE!?
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