Short Notes and Video Lectures on Polynomials for Class 10 Board Exam (Padhte Chalo, Badhte Chalo- Eckovation). Join Group Code 101010 to discuss your doubts with educators from IIT Delhi)

### A** polynomial** is a function which involves only non-negative integer power of x.

**polynomial**

**Different Type of Polynomial Functions**

# Degree of a Polynomial

It is the **highest degree or power** of a polynomial function.

# Zeros of a Polynomial

A numbers** k** is said to be a Zero of a polynomial p(x), if** p(k)=0. **Example: For Polynomial f(x), f(1) = 0.

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# Geometrical Meaning of Zeros of a Polynomial

Zero of a polynomial p(x) is x-coordinate of point where graph of p(x) intersects X-axis

**In this case Zeros of p(x)=1,-1,3**

## Graph Of Zeros

Linear Equations Quadratic Equation

Cubic Equations

## Division Algorithm

If p(x) & g(x) are any two polynomials with g(x) is not = 0, then we find polynomials **q(x) & r(x)** such that

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

## Relation between Coefficients & sum and products of roots

**For quadratic polynomial ax² + bx + c **

Sum of zeros=- b/a

Product of zeros=c/a

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