What have we discussed?

In this chapter, you have studied the following points:

1.Polynomials of degrees 1, 2 and 3 are called linearquadraticcubic, quadraticcubiclinear and cubicquadraticlinear polynomials respectively.

2. A quadraticcubiclinear polynomial in x with real coefficients is of the form ax2+bx+c, where a, b, c are real numbers with a ≠ 0.

3. The zeroesones of a polynomial p(x) are precisely the x-coordinates of the points, where the graph of y = p(x) intersects the x -axis.

4. A quadratic polynomial can have at most 23 zeroes and a cubic polynomial can have at most 32 zeroes.

5. If α and β are the zeroes of the quadratic polynomial ax2+bx+c, then α + β = −baca ; αβ = ca−ba.

6. If α, β, γ are the zeroes of the cubic polynomial ax3 + bx2 + cx + d, then

α+β+γ=−ba

αβ+βγ+γα=ca

αβγ=−da.