Study With AB sir

please visit click here

 

Quadratic Polynomial A polynomial, whose degree is 2, is called a quadratic polynomial. It is in the form of p(x) = ax 2  + bx + c,  where a ≠ 0 Quadratic Equation When we equate the quadratic polynomial to zero then it is called a Quadratic Equation i.e. if p(x) = 0 , then it is known as Quadratic Equation.  Standard form of Quadratic Equation where a, b, c are the real numbers and a≠0 Types of Quadratic Equations 1. Complete Quadratic Equation   ax 2  + bx + c = 0, where a ≠ 0, b ≠ 0, c ≠ 0 2. Pure Quadratic Equation    ax 2  = 0, where a ≠ 0, b = 0, c = 0 Roots of a Quadratic Equation Let x = α where α is a real number. If α satisfies the Quadratic Equation ax 2 + bx + c = 0 such that aα 2  + bα + c = 0, then  α is the root of the Quadratic Equation . As quadratic polynomials have degree 2, therefore Quadratic Equations can have two roots. So the zeros of quadratic polynomial p(x) =ax 2 +bx+c is same as the roots of the Quadratic Equa...