# Polynomials

## Polynomial factorization using factor theorem

In this chapter we will learn to factorize the polynomial using the concept of factor theorem. We will understand the method with the help of example. Question 01Factorize the polynomial using factor theorem. SolutionFirst arrange the polynomial such that the highest degree has no coefficient. Highest degree of given polynomial = 2 It means that …

## Factor theorem of polynomial

In this chapter we will discuss the concept of factor theorem of polynomial and will also solve some questions related to it. Let’s start with the basics. What is factor of polynomial ? The expression which completely divides the polynomial without leaving any remainder is called factor of polynomial. For example, consider the following polynomial …

## Questions on remainder theorem of polynomial -03

Given below are collection of questions related to remainder theorem of polynomial. All the questions are to the standard of grade 09 math. Question 01Find the value of variable “a”, if function g(x) is the factor of f(x). f(x) = g(x) = x + a SolutionSince g(x) is factor of f(x), we will get remainder …

## Questions on remainder theorem of polynomial- 02

Given below are collection of questions related to remainder theorem of polynomial. All the questions are to the standard of grade 09. All the questions are provided with detailed solution. Question 01Check if the function g(x) completely divides the function f(x). f(x) = g(x) = x – 3 SolutionHere we will use the concept of …

## LCM of polynomials

In this chapter, we will learn to find LCM of polynomials with solved examples. To understand the chapter, you should have basic knowledge of concept of LCM. How to find LCM of polynomials ? The LCM of polynomial is the lowest multiple which gets fully divided by given polynomials. To find the LCM, follow the …

In this chapter we will learn to add two or more algebraic fractions with solved examples. To understand the chapter, you should have basic knowledge of fractions and LCM. How to add algebraic fractions ? In order to add algebraic fraction, follow the below steps; (a) Factorize the denominator of each fraction into simple components. …

## HCF of polynomials using factorization

In this chapter we will learn to find HCF of given polynomials using factorization method. While finding HCF, we are basically looking for highest factor which will completely divide all the given polynomials. Finding HCF of polynomials To find the HCF, follow the below steps; (a) Factorize each of the given polynomials individually into smaller …

## LCM of monomials using factorization method

In this chapter we will learn to find LCM of given monomials using factorization method. While calculating the LCM we are trying to find the lowest algebraic expression which gets fully divided by all the given monomials. Monomial LCM -Using Factorization method To find the LCM of given monomials, follow the below steps; (a) Break …

## LCM of monomials

In this chapter we will learn to find LCM of two or more monomials with solved examples. At the end of the chapter some problems are also provided for practice. To understand this chapter, you should have basic knowledge about the concept of Lowest common multiples and polynomials. Finding LCM of Monomials Let us first …

## Factorize polynomial with common monomial factor

In this chapter we will learn to factorize polynomial containing common monomial factor. Here I will show you the step by step process to factorize the polynomial along with solved examples at the end. Factorizing polynomial with monomial factor Polynomial is an expression which contain two or more terms separated by addition or subtraction sign. …