"Question 2 Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
x + y, 1000, x + x^2 + x^3 + x^4, 7 + y + 5x, 2y − 3y^2, 2y − 3y^2 + 4y^3, 5x − 4y + 3xy, 4z − 15z^2, ab + bc + cd + da, pqr, p^2q + pq^2, 2p + 2q
Class 8 Algebraic Expressions and Identities Page 140"
Answers
Algebraic expressions:
A
combination of constants and variables connected by any or all of the four
fundamental operations +, -,×,÷ is called an algebraic expression.
Monomials:
A monomial is a one term algebraic expression .
Binomials:
Binomial is a two term algebraic expression.
Trinomials:
Trinomial is a 3 term algebraic expression.
Polynomials:
An algebraic expression containing one or more terms with non zero Coefficient is called a polynomial.
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Solution:
x + y: Binomial
1000: Monomial
7 + y + 5x: Binomial
2y – 3y²: Binomial
2y – 3y² + 4y³: Trinomial
5x – 4y + 3xy: Trinomial
4z – 15z²: Binomial
pqr: Monomial
p2q + pq²: Binomial
2p + 2q: Binomial
Polynomial x + x² + x³ + x⁴ & ab + bc + cd + da do not fit any of these categories
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