The area of any regular rectangle is found by multiplying its length by its width dimensions. Therefore, to calculate the missing length expression, we must divide the total area polynomial by the width expression. Factorizing the area polynomial 2x square + 7x + 3 by middle term splitting gives theRead more
The area of any regular rectangle is found by multiplying its length by its width dimensions. Therefore, to calculate the missing length expression, we must divide the total area polynomial by the width expression. Factorizing the area polynomial 2x square + 7x + 3 by middle term splitting gives the paired factors (2x + 1) multiplied by (x + 3). Cancelling out the common width binomial factor (2x + 1) leaves the remaining linear factor (x + 3).
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
Let the unknown target number be represented by the variable x. According to the wording of the problem, the algebraic equation is written as x plus 1/x equals 10/3. Multiplying the entire equation by 3x clears out the denominators, transforming it into the standard quadratic equation form 3x squareRead more
Let the unknown target number be represented by the variable x. According to the wording of the problem, the algebraic equation is written as x plus 1/x equals 10/3. Multiplying the entire equation by 3x clears out the denominators, transforming it into the standard quadratic equation form 3x square – 10x + 3 = 0. Splitting the middle term results in the linear factors (3x – 1) and (x – 3), giving the solutions 3 or 1/3.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
The algebraic expression in Example 1 is 4x + 5y + 3, where the variables x and y appear separately in different terms. In Example 2, the expression is 200l + 160w + 50lw. The important difference is that the term 50lw contains two variables multiplied together. Example 1 includes a constant term 3,Read more
The algebraic expression in Example 1 is 4x + 5y + 3, where the variables x and y appear separately in different terms. In Example 2, the expression is 200l + 160w + 50lw. The important difference is that the term 50lw contains two variables multiplied together. Example 1 includes a constant term 3, but Example 2 has no constant term. Also, Example 1 is about counting pens and pencils, while Example 2 is related to the cost of fencing and seeds.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
The total length of the wire is 20 cm, so the perimeter of the rectangle is 20 cm. Since the perimeter formula is 2 multiplied by length plus width, the sum of length and width becomes 10 cm. If the length is x cm, then the width will be 10 minus x cm. The area of a rectangle is length multiplied byRead more
The total length of the wire is 20 cm, so the perimeter of the rectangle is 20 cm. Since the perimeter formula is 2 multiplied by length plus width, the sum of length and width becomes 10 cm. If the length is x cm, then the width will be 10 minus x cm. The area of a rectangle is length multiplied by width. Therefore, the expression for the area of the rectangle is x multiplied by 10 minus x or 10x minus x square.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
The degree of a polynomial depends on the highest power of the variable. A polynomial of degree 1 is called a linear polynomial, such as 3x plus 2. A polynomial of degree 2 is called a quadratic polynomial, such as x square plus 5x plus 1. A polynomial of degree 3 is called a cubic polynomial, suchRead more
The degree of a polynomial depends on the highest power of the variable. A polynomial of degree 1 is called a linear polynomial, such as 3x plus 2. A polynomial of degree 2 is called a quadratic polynomial, such as x square plus 5x plus 1. A polynomial of degree 3 is called a cubic polynomial, such as 2x cube minus x plus 4. In each case, the highest power of x determines the degree of the polynomial.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
A rectangular pool has area 2x square + 7x + 3 square hastas
The area of any regular rectangle is found by multiplying its length by its width dimensions. Therefore, to calculate the missing length expression, we must divide the total area polynomial by the width expression. Factorizing the area polynomial 2x square + 7x + 3 by middle term splitting gives theRead more
The area of any regular rectangle is found by multiplying its length by its width dimensions. Therefore, to calculate the missing length expression, we must divide the total area polynomial by the width expression. Factorizing the area polynomial 2x square + 7x + 3 by middle term splitting gives the paired factors (2x + 1) multiplied by (x + 3). Cancelling out the common width binomial factor (2x + 1) leaves the remaining linear factor (x + 3).
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/
See lessIf a number plus its reciprocal equals 10/3, find the number.
Let the unknown target number be represented by the variable x. According to the wording of the problem, the algebraic equation is written as x plus 1/x equals 10/3. Multiplying the entire equation by 3x clears out the denominators, transforming it into the standard quadratic equation form 3x squareRead more
Let the unknown target number be represented by the variable x. According to the wording of the problem, the algebraic equation is written as x plus 1/x equals 10/3. Multiplying the entire equation by 3x clears out the denominators, transforming it into the standard quadratic equation form 3x square – 10x + 3 = 0. Splitting the middle term results in the linear factors (3x – 1) and (x – 3), giving the solutions 3 or 1/3.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/
See lessHow is it different from the algebraic expression in Example 1?
The algebraic expression in Example 1 is 4x + 5y + 3, where the variables x and y appear separately in different terms. In Example 2, the expression is 200l + 160w + 50lw. The important difference is that the term 50lw contains two variables multiplied together. Example 1 includes a constant term 3,Read more
The algebraic expression in Example 1 is 4x + 5y + 3, where the variables x and y appear separately in different terms. In Example 2, the expression is 200l + 160w + 50lw. The important difference is that the term 50lw contains two variables multiplied together. Example 1 includes a constant term 3, but Example 2 has no constant term. Also, Example 1 is about counting pens and pencils, while Example 2 is related to the cost of fencing and seeds.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See lessA wire of length 20 cm is bent in different ways to form rectangles. For example, we can have a rectangle with length 7 cm and width 3 cm. We can also have one of length 5.5 cm and width 4.5 cm. (Think of a few more ways of forming such rectangles.) Can you write an expression for the area of such rectangles?
The total length of the wire is 20 cm, so the perimeter of the rectangle is 20 cm. Since the perimeter formula is 2 multiplied by length plus width, the sum of length and width becomes 10 cm. If the length is x cm, then the width will be 10 minus x cm. The area of a rectangle is length multiplied byRead more
The total length of the wire is 20 cm, so the perimeter of the rectangle is 20 cm. Since the perimeter formula is 2 multiplied by length plus width, the sum of length and width becomes 10 cm. If the length is x cm, then the width will be 10 minus x cm. The area of a rectangle is length multiplied by width. Therefore, the expression for the area of the rectangle is x multiplied by 10 minus x or 10x minus x square.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See lessWrite polynomials of degrees 1, 2 and 3.
The degree of a polynomial depends on the highest power of the variable. A polynomial of degree 1 is called a linear polynomial, such as 3x plus 2. A polynomial of degree 2 is called a quadratic polynomial, such as x square plus 5x plus 1. A polynomial of degree 3 is called a cubic polynomial, suchRead more
The degree of a polynomial depends on the highest power of the variable. A polynomial of degree 1 is called a linear polynomial, such as 3x plus 2. A polynomial of degree 2 is called a quadratic polynomial, such as x square plus 5x plus 1. A polynomial of degree 3 is called a cubic polynomial, such as 2x cube minus x plus 4. In each case, the highest power of x determines the degree of the polynomial.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See less