Mathematics

What Is The Cartesian Coordinate SystemIn Cartesian co-ordinates the position of a point P is determined by knowing the distances from two perpendicular lines passing through the fixed point. Let O be the fixed point called the origin and…

Form A Polynomial With The Given ZerosLet zeros of a quadratic polynomial be α and β. x = β,               x = β x – α = 0,   x ­– β = 0 The obviously the quadratic polynomial is (x – α) (x – β) i.e.,  x2 – (α + β) x + αβ x2 – (Sum of the…

What is the pattern of numbers?PATTERNS Patterns arise due to special arrangements of numbers associated with geometrical figures. The numbers are of different kinds likeNatural numbersPolygonal numbers (a) Triangular numbers (b) Square…

What is the pattern of numbers?PATTERNS Patterns arise due to special arrangements of numbers associated with geometrical figures. The numbers are of different kinds likeNatural numbersPolygonal numbers (a) Triangular numbers (b) Square…

Degree Of A PolynomialThe greatest power (exponent) of the terms of a polynomial is called degree of the polynomial. For example : In polynomial 5x2 – 8x7 + 3x: (i) The power of term 5x2 = 2 (ii) The power of term –8x7 = 7 (iii) The power…

Degree Of A PolynomialThe greatest power (exponent) of the terms of a polynomial is called degree of the polynomial. For example : In polynomial 5x2 – 8x7 + 3x: (i) The power of term 5x2 = 2 (ii) The power of term –8x7 = 7 (iii) The power…

Whole Numbers And Its PropertiesWHOLE NUMBERS Now if we add zero (0) in the set of natural numbers, we get a new set of numbers called the whole numbers. Hence the set of whole numbers consists of zero and the set of natural numbers. It is…

Whole Numbers And Its PropertiesWHOLE NUMBERS Now if we add zero (0) in the set of natural numbers, we get a new set of numbers called the whole numbers. Hence the set of whole numbers consists of zero and the set of natural numbers. It is…

Zeros Of A Polynomial FunctionIf for x = a, the value of the polynomial p(x) is 0 i.e., p(a) = 0; then x = a is a zero of the polynomial p(x).For Example: (i) For polynomial p(x) = x – 2; p(2) = 2 – 2 = 0 ∴ x = 2 or simply 2 is a zero of…

Types Of Polynomials(i) Based on degree : If degree of polynomial isExamples1.One  Linearx + 3, y – x + 2, √3x –32.TwoQuadratic2x2 –7, (frac{1}{3}^{2}}+^{2}}-2text{xy}), x2 +1+ 3y3.ThreeCubicx3 + 3x2 –7x+8, 2x2+5x3+7,4.Fourbi-quadraticx4 +…