zeros of quadratic polynomials

Geometrical interpretation  of zeros of quadratic  polynomials: A polynomial of degree 2 is called a quadratic polynomial.  For any quadratic polynomial , , the graph of the corresponding equation     has one of the two shapes either open upwards like U or open   downwards like ,   ∩   depending on whether a > 0 or a < 0. (These curves are called parabolas.)  The zeroes of a quadratic polynomial ,  are precisely the  x-coordinates of the points where the parabola representing intersects the x-axis. Now the following three cases can happen. Case-(i)   The graph cuts x-axis at two distinct points. …

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