A term of the expression having no literal factors is called a constant term.
A) True
B) False
C) Ambiguous
D) Data insufficient
Answer
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Hint: To know the truth of the statement, we must understand the lateral factor with examples.
Complete step by step answer:
We know that each algebraic term is constituted by the product of a number and one literal or more than one literal. The factor in the form of one literal or product of more than two literals is called a literal factor. In other words, we can say lateral factors are variables of an expression. An expression is a mathematical phrase consisting of a sequence of mathematical symbols and a variable is a letter or symbol used to represent a quantity that can change. We can use any letter to represent a variable, but x and y is common.
Let’s take an example to understand the meaning of literal factor.
The term \[6x\] consists of one numerical factor that is 6 and a literal factor ‘x’.
The term 8yz consists of one numerical factor 8 and the product of two literal factors y and z.
But in the question, it is given that there should be no lateral factor. Hence the expression with no literal is said to be constant. For example, a term containing no literal factor is 6.
Therefore option (A) is correct.
Note:
The constants have their own fixed value and they may be represented by letters or symbols. For example, all numerical values like 1, 2, 3 … etc. and e, \[\pi \],etc.
Complete step by step answer:
We know that each algebraic term is constituted by the product of a number and one literal or more than one literal. The factor in the form of one literal or product of more than two literals is called a literal factor. In other words, we can say lateral factors are variables of an expression. An expression is a mathematical phrase consisting of a sequence of mathematical symbols and a variable is a letter or symbol used to represent a quantity that can change. We can use any letter to represent a variable, but x and y is common.
Let’s take an example to understand the meaning of literal factor.
The term \[6x\] consists of one numerical factor that is 6 and a literal factor ‘x’.
The term 8yz consists of one numerical factor 8 and the product of two literal factors y and z.
But in the question, it is given that there should be no lateral factor. Hence the expression with no literal is said to be constant. For example, a term containing no literal factor is 6.
Therefore option (A) is correct.
Note:
The constants have their own fixed value and they may be represented by letters or symbols. For example, all numerical values like 1, 2, 3 … etc. and e, \[\pi \],etc.
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