Value-Based Questions: Polynomials

Class 8 Maths Chapter 2 Question Answers - Polynomials

Q1. In a school function, students having 100% attendance are to be honoured. Class teacher of IX A gives the number of eligible students as whereas the class teacher of IX B gives the number of such students as  If both the above numbers are equal then

(i) Find the number of prize-winners of 100% attendance in each section of class IX.
(ii) Which mathematical concept is used in the above problem?
(iii) By honouring 100% attendance holders, which value is depicted by the school administration?

(i) Number of eligible students of class IX A

=

Number of eligible students of class IX B

Since, the number of eligible students in both sections are equal.

Thus, in each section number of eligible students = 8
(ii) Number system.
(iii) Regularity.

Q2. Ravita donated  to a blind school. Her friends wanted to know the amount donated by her. She did not disclose the amount but gave a hint that
(i) Find the amount donated by Ravita to the blind school.
(ii) Which mathematical concept is involved in this problem?
(iii) By donating an amount to blind school, which value is depicted by Ravita?

(i) ∵

Thus, the amount donated by Ravita is  322.
(ii) Polynomials.
(iii) Charity.

Q3. A group of (a + b) teachers, (a+ b2) girls and (a3 + b3) boys set out for an ‘Adult Education Mission’. If in the group, there are 10 teachers and 58 girls then:
(i) Find the number of boys.
(ii) Which mathematical concept is used in the above problem?

(iii) By working for ‘Adult Education’, which value is depicted by the teachers and students?

(i) ∵ (a + b)2 = a2 + b+ 2ab
∴ 102 = 58 + 2ab                   [∵ Number of teachers = (a + b) = 10 and Number of girls = (a2 + b2) = 58]
⇒ 100 = 58 + 2ab
⇒ 2ab = 100 – 58 = 42
⇒ ab = 42/2
= 21
Now, (a + b)3 = a3 + b3 + 3ab (a + b) ∴
(10)= a3 + b3 + 3 * 21 * 10
⇒ 1000 = a+ b+ 630 a+ b3 = 1000 – 630 = 370
∴ Number of boys = 370.
(ii) Polynomials.
(iii) Social upliftment.

The document Class 8 Maths Chapter 2 Question Answers - Polynomials is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Class 8 Maths Chapter 2 Question Answers - Polynomials

 1. What is a polynomial?
A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. It can have multiple terms, and each term can have a different degree.
 2. How do you determine the degree of a polynomial?
The degree of a polynomial is determined by the highest exponent of the variable in the expression. For example, if the highest exponent is 3, the polynomial is of degree 3.
 3. What is the difference between a monomial and a polynomial?
A monomial is a single term containing a variable raised to a non-negative integer exponent. On the other hand, a polynomial consists of two or more terms with variables and exponents. In simpler terms, a monomial is a special case of a polynomial.
 4. Can a polynomial have a negative degree?
No, a polynomial cannot have a negative degree. The degree of a polynomial is always a non-negative integer. It represents the highest power to which the variable is raised in the expression.
 5. How do you add and subtract polynomials?
To add or subtract polynomials, you combine like terms. Like terms have the same variables raised to the same exponents. Simply add or subtract the coefficients of the like terms while keeping the variables and exponents unchanged.

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