Video Lecture & Short Notes: Polynomials

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.

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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