# Summary

1. Polynomials of degrees 1, 2, and 3 are called linear, quadratic and cubic respectively.

2. A quadratic polynomial in x with real coefficients is of the form ax^{2} + bx + c where a, b, c are real number with a â‰ 0.

3. The zeroes of a polynomial p(x) are nothing but the x-coordinates of the points where the graph y = p(x) intersects the x-axis.

4. A quadratic polynomial can have at the mostÂ 2 zeroes and a cubic polynomial can have at the most 3 zeroes.

5. If Î± and Î² are the zeroes of the quadratic polynomial ax^{2} + bx + c, then

Î± + Î² = Î±nd Î±Î² =

6. The division algorithm states that given any polynomial p(x) and any non zero polynomial g(x) there are polynomials q(x) and r(x) such that

p(x) = g(x) q(x) + r(x)

r(x) = 0 (or) degree r(x) < degree g(x).