My exam is tomorrow . Plz answer me ASAP . Thanks in advance !

Asked by Saravanan | 30th Sep, 2013, 11:58: PM

Expert Answer:

Geometrical Interpretation of zeros

It is possible to find the zeros of any polynomial p(x) by just drawing its graph and identifying the points where its graph meets x-axis. The points at which the graph of a polynomial meets x axis are its zeros.

  • The number of real zeros of the polynomial is the number of times its graph intersects x axis. A polynomial p(x) of degree n will intersect the x-axis at atmost n points.

  • Points where the graph of polynomial touch the x-axis is also the zero of the polynomial.

 

  • A linear polynomial has atmost one real zero.

 

  • A quadratic polynomial has atmost two real zeros.

 

  • A cubic polynomial has atmost three real zeros.

Answered by  | 1st Oct, 2013, 08:59: AM

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