Mathematics for Standard X

Chapter no.2 POLYNOMIALS ( DIVISION ALGORITHM)

Today we are going to learn ,

1) Standard form of Cubic Polynomial and how verify the relationship between the zeroes and coefficients of cubic Polynomial

2) Division algorithm for Polynomials.

Now observe example ,

Division algorithm for Polynomials :- 

If p(x) and g(x) are any two Polynomials with g(x) not equal to zero then we can find Polynomials q(x) and r(x) such that

P(x) = g(x) × q(x) + r(x) ,

Where r(x) = 0 or degree of r(x) less than degree of g(x)

This result is known as the DIVISION ALGORITHM for Polynomials. 

Here p(x) = dividend  , g(x) = divisor,  q(x) = quotient and r(x) = remainder 

Now observe the examples  ,

Exercise 2.3 Q.1

The video of solutions of Q.1 of Exercise 2.3 are available in following link 

https://youtu.be/zypEP-h4hIE ( Q.1 i)

https://youtu.be/m2kxPX2Yt7Q ( Q.1 ii)

https://youtu.be/j11BVLtyNSs ( Q.1 iii)

Observe one extra example and write their solution with complete steps

Assignment ( Other examples for practice) 

Homework  :- Solve Q.1 of Exercise 2.3 and also Assignment.