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. …