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Question

How many terms are there in each of the following algebraic expressions?
(i) 6x3+8x2−4x
(ii) 15xy3+21x2−16
(iii) 19x2+8x2+4xy−2

A
3, 3 and 4
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B
3, 2 and 4
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C
3, 2 and 2
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D
3, 3 and 3
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Solution

The correct option is D 3, 3 and 3
Expressions are made up of terms. A term can be a constant, a variable, product of constant and variables or product of variables.
Each term in an algebraic expression is separated by an arithmetic operator + or - .

(i) 6x3+8x24x
has three terms 6x3,8x2 and 4x.

(ii) 15xy3+21x216
has three terms 15xy3,21x2 and 16.

(iii) 19x2+8x2+4xy2
=27x2+4xy2
(Since 19x2 and 8x2 are like terms)
has three terms 27x2,4xy and 2.

Therefore, all the given expressions have three terms.

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