##### Polynomials – Notes

**Geometrical Meaning of the Zero Polynomial**

The x-coordinate of the point, where the graph of a polynomial intersects the x-axis is called the zero of the polynomial.

An n^{th}-degree polynomial intersects the x-axis at maximum of n points and therefore, has a maximum of n zeroes.

In a quadratic polynomial ax^{2} +bx + c,

- If a > 0, then the graph is a parabola that open upwards.
- If a < 0, then the graph is a parabola that open downwards.

**Relationship between Zeros and Coefficients of a Polynomial**

If a is the of a linear polynomial ax + b, then a =- = –

If a and b are the two zeroes of a quadratic polynomial ax^{2} + bx + c, then:

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CBSE Class 10th Maths 2 - Polynomials - Notes

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