Among 4x, 3a − 2b, x² + 5x + 6 and 7p + 9, how many are binomials?

2. A binomial has exactly TWO terms: 3a − 2b and 7p + 9 qualify, so the count is 2. 4x is a monomial (one term) and x² + 5x + 6 is a trinomial (three terms) — counting either of those in gives 3 or 4.

Among $4 x, 3 a - 2 b, x^{2} + 5 x + 6$ and $7 p + 9$ , how many are binomials?

Class 8Algebraic Expressions and IdentitiesAlgebra

Step-by-Step Solution

A binomial has exactly TWO terms:

3 a - 2 b

and

7 p + 9

qualify, so the count is 2.

4 x

is a monomial (one term) and

x^{2} + 5 x + 6

is a trinomial (three terms) — counting either of those in gives 3 or 4.

Answer: D) 2

Key idea: Adding and subtracting expressions

Combine **like terms only** — same variables and same powers.

Example:

(3 x^{2} + 4 x - 2) + (5 x^{2} - 7 x + 8) = (3 x^{2} + 5 x^{2}) + (4 x - 7 x) + (- 2 + 8) = 8 x^{2} - 3 x + 6

.

For subtraction, distribute the minus sign first:

(3 x^{2} + 4 x) - (x^{2} - 2 x) = 3 x^{2} + 4 x - x^{2} + 2 x = 2 x^{2} + 6 x

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Among 4x,3a−2b,x2+5x+6 and 7p+9, how many are binomials?

Step-by-Step Solution

Key idea: Adding and subtracting expressions

Master this chapter in 30 minutes a day.

More Class 8 Algebraic Expressions and Identities practice

Among $4 x, 3 a - 2 b, x^{2} + 5 x + 6$ and $7 p + 9$ , how many are binomials?