Carrier Point
1.Zeros of Polynomial
- Books Name
- Rakhiedu Mathematics Book
- Publication
- Param Publication
- Course
- CBSE Class 10
- Subject
- Mathmatics
2.1 INTRODUCTION :
In earlier classes, we have learnt about polynomials in one variable, their degrees, factors, multiples and zeros (or roots). In this chapter, we will study about the geometrical representation of linear quadratic and cubic polynomials and geometrical meaning of their zeros. We will also study about the relationship between the zeros and coefficients of a polynomial. LCM and HCF of two or more polynomials, rational expressions, basic operation on polynomials and concept of square root of polynomials.
2.Zeros and Coefficients of Polynomial – 1
- Books Name
- Rakhiedu Mathematics Book
- Publication
- Param Publication
- Course
- CBSE Class 10
- Subject
- Mathmatics
Method for finding HCF of the given polynomials :
Step 1 : Express each polynomial as a product of powers of irreducible factors which also requires the numerical factors to be expressed as the product of the powers of primes.
Step 2 : If there is no common factor then HCF is 1 and if there are common irreducible factors, we find the least exponent of these irreducible factors in the factorized form of the given polynomials.
Step 3 : Raise the common irreducible factors to the smallest or the least exponents found in step 2 and take their product to get the HCF.
