# Algebra

## 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 …

## Factorization of algebraic expression – Problem set 03

Given below are question related to factorization of algebraic expression with detailed solution. All the questions are to the standard of grade 09. Question 01Factorize the below expression; SolutionThe above expression can be written as; Referring the formula; Using the formula, we get; Hence, the above expression is the solution. Question 02Factorize the below expression; …

## Factorization of algebraic expression – Problem set 02

Given below is collection of question related to factorization of algebraic expression. All the questions are to the standard of grade 09 math. Question 01Factorize the below expression; Solution Hence, the above expression is the solution. Question 02Factorize the below expression: Solution Referring the formula: Using the formula in above expression; Hence, the above expression …

## Factorization of algebraic expression – Problem set 01

In this chapter we will discuss questions related to factorization of algebraic expressions with detailed solutions. All the questions are to the standard of grade 09. Question 01Factorize the below expression; SolutionSolving the expression; Hence, the above expression is the factorized form. Question 02Factorize the below expression; SolutionReferring the formula; Using the formula in given …

## Problems on algebraic identities – set 05

Given below is the collection of problems related to algebraic identities. All the questions are to the standard of grade 9. Question 01Find the value of below expression using algebraic identity. Solutionwe know that;if a + b + c = 0then Here;a = 25b = -75c = 50 Calculating a + b + c ;⟹ …

## Problems on algebraic identity – set 04

Given below are collection of questions related to algebraic identity. All the questions are to the standard of grade 09. Question 01If a + b = 10 and ab = 21;Find the value of SolutionReferring the following formula; Putting the values in above formula, we get; Hence, 370 is the solution. Question 02If a – …

## Problems on algebraic identity – set 03

Given below are problems related to algebraic expressions. All the problems are to the standard of grade 9 and are provided with detailed solution. Question 01If Then find the value of SolutionSquaring the expression Referring the formula; Using the formula, we get; Hence, the solution is integer 8 (both positive & negative) Question 02 If …

## Problems on algebraic identity – set 02

Given below are set of problems that are solved using algebraic identities. All the problems are to the standard of grade 9 and are provided with detailed solution. Question 01Find the value using algebraic identity. SolutionThe above expression can be written as; Referring the formula; Using the above formula, the expression can be written as; …