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Chapter 3. Algebraic Expressions and Polynomials NIOS Class 10 Mathematics Chapter-Wise Important Questions and Answers

Chapter 3. Algebraic Expressions and Polynomials | NIOS Class 10 Mathematics Important Questions, Fully Solved Answers, and Chapter-wise Exam Preparation Guide.

Chapter 3. ALGEBRAIC EXPRESSIONS AND POLYNOMIALS

Optional Questions and Answers for Algebraic Expressions and Polynomials [1 Mark]

CHECK YOUR PROGRESS 3.1

Short Questions and Answers for Algebraic Expressions and Polynomials [1 or 2 Marks]

1. Write the variables and constants in each of the following:

(i) 1+y  (ii)  23x+13y+7  (iii) 45x2y3 (iv) 25xy5+12  (v) 2x2+y2-8 (vi) x+1x

Solution:  (i) 1+y  

The variable is y .

The constant is 1 .  

(ii)  23x+13y+7

The variable are x and y .

The constants are  23 ,13 and 7  

(iii) 45x2y3 

The variable are x and y .

The constant is  45   .

(iv) 25xy5+12  

The variable are x and y .

The constants are  25 and 12  .

(v) 2x2+y2-8 

The variable are x and y .

The constants are 2 and – 8 .  

(vi) x+1x

The variable is x .

There are no constants .

2. In 2x2y , write the coefficient of  (i) x2y  (ii) x2  (iii) y 

Solution: (i) The coefficient of x2y is 2

(ii) The coefficient of x2 is 2y

  (iii) The coefficient of y is 2x2 .

Long Questions and Answers for Algebraic Expressions and Polynomials [ 3 or 4 Mark]

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