Question

Number of terms in the algebraic expression x3 - 3x2y + 4xy-10  is


Options : (a) 5 (b) 4 (c) 3 (d) 2​

Answer 1

Given :  x3 - 3x2y + 4xy-10

To Find : Number of terms in the algebraic expression x3 - 3x2y + 4xy-10

(a) 5 (b) 4 (c) 3 (d) 2​

Solution:

x³ - 3x²y + 4xy-10

Term 1  : x³

Term 2  : - 3x²y

Term 3  :  4xy

Term 4  : -10

Hence there are total 4 terms in the algebraic expression

4 terms in the algebraic expression x³ - 3x²y + 4xy-10

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Number of terms in the algebraic expression

$\sf{ {x}^{3} - 3 {x}^{2} y + 4xy - 10}$

(a) 5

(b) 4

(c) 3

(d) 2

CONCEPT TO BE IMPLEMENTED

EXPRESSION

In Mathematics an expression is an algebraic expression.

An algebraic expression is an mathematical expression consisting of a number of terms separated by the mathematical operators plus ( + ) or minus ( - )

TERM

A term is defined as a number which is treated as a constant or a variable (x,y,z etc.) or a number multiplied by a variable.

COEFFICIENT

In an algebraic expression Coefficients are defined as the numerical parts of a term that contains a variable.

NUMBER OF TERMS IN AN ALGEBRAIC EXPRESSION

The number of terms in an algebraic expression is the total number of distinct terms in the expression

EVALUATION

Here the given expression is

$\sf{ {x}^{3} - 3 {x}^{2} y + 4xy - 10}$

In the given algebraic expression the distinct terms are

x³ , - 3x²y , 4xy , - 10

So the total number of distinct terms in the expression = 4

Hence the required number of terms = 4

FINAL ANSWER

Hence the correct option is (b) 4

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