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NCERT Class 10 Mathematics Chapter 2 Polynomials
Summary
In this chapter, you have studied the following points:
1. Polynomials of degrees 1,2 and 3 are called linear, quadratic and cubic polynomials respectively.
2. A quadratic polynomial in x with real coefficients is of the form , where a, b, c are real numbers with .
3. The zeroes of a polynomial p (x) are precisely the x-coordinates of the points, where the graph of intersects the x -axis.
4. A quadratic polynomial can have at most 2 zeroes and a cubic polynomial can have at most 3 zeroes.
5. If and are the zeroes of the quadratic polynomial , then
, .
6. If , , are the zeroes of the cubic polynomial , then
,
,
and .
7. The division algorithm states that given any polynomial and any non-zero polynomial , there are polynomials and such that
where
or degree .