Identify monomials,binomials & trinomials algebraic expressions (i)7p² x a³b (ii) 5 + 3x3y3z2 (iii) 3x2 ÷ p (iv) (v) xy + yz - zx (vi) ax2 + bx × y2

Question

KnowledgeBoat · Accepted Answer

(i) 7p2 × a3b Multiplication combines these into a single unit. There are no + or - signs separating them. Number of terms: 1 Hence, it is a monomial. (ii) 5 + 3x3y3z2 The + sign separates the constant '5' from the variable term. Number of terms: 2 Hence, it is a binomial. (iii) 3x2 ÷ p Division results in a single algebraic term : So, Number of terms: 1 Hence, it is a monomial. (iv) While the entire expression is over a single denominator, the numerator contains three distinct terms (3a, 2b, and -5c) separated by + and -. Number of terms: 3 Hence, it is a trinomial. (v) xy + yz - zx There are three distinct products separated by + and -. So, Number of terms: 3 Hence, it is a trinomial. (vi) ax2 + bx × y2 The multiplication combines bx and y2 into one term (bxy2). The only separator is the + sign. Term 1: ax2 Term 2: bxy2 Number of terms: 2 Hence, it is a binomial.

Mathematics

Identify monomials, binomials and trinomials from the following algebraic expressions.
(i) 7p² × a³b
(ii) 5 + 3x³y³z²
(iii) 3x² ÷ p
(iv) $\dfrac{3a + 2b - 5c}{7}$
(v) xy + yz - zx
(vi) ax² + bx × y²

Algebraic Expressions

Answer

Related Questions

Write down the numerical as well as literal coefficient of each of the following monomials:
(i) -2p³q²
(ii) $\dfrac{5}{9}xyz^2$
(iii) $-\dfrac{3ab^2}{2}$
(iv) $\dfrac{3}{a^2}$
(v) $\dfrac{2ab}{c}$
(vi) $-\dfrac{2x^2}{yz}$

In -5p²q³r⁴, write down the coefficient of:
(i) p²
(ii) 5pq²
(iii) p²q²
(iv) pqr
(v) -pq²r³
(vi) 5q³r

Identify like terms in the following:
(i) a², b², -2a², c², 4a
(ii) 3x, 4xy, -yz, $\dfrac{1}{2}$ zy
(iii) -2xy², x²y, 5y²x, x²z
(iv) abc, ab²c, acb², c²ab, b²ac, a²bc, cab²

Mathematics

Identify monomials, binomials and trinomials from the following algebraic expressions.(i) 7p2 × a3b(ii) 5 + 3x3y3z2(iii) 3x2 ÷ p(iv) 3a+2b−5c7\dfrac{3a + 2b - 5c}{7}73a+2b−5c​(v) xy + yz - zx(vi) ax2 + bx × y2