
Identify the terms, their numerical as well as literal coefficients in each of the following expression: $ 12{x^2}yz - 4x{y^2} $
Answer
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Hint: Numerical is the fixed number and represented by the numbers whereas the literal coefficients are terms which carry variables. Here we will identify the constants and the variables.
Complete step-by-step answer:
A factor which contains at least one letter, in product form of a term is called a literal coefficient of the remaining factor.
Give example: $ 12{x^2}yz - 4x{y^2} $
Here, for $ 12{x^2}yz $ the numerical is $ 12 $ and lateral coefficient is $ {x^2}yz $
Similarly, $ - 4x{y^2} $ the numerical is $ - 4 $ and lateral coefficient is $ x{y^2} $
This is the required solution.
Note: Constants are the terms which are expressed with the fixed value and the it is represented by the numbers whereas the variables do not have any fixed value and they are represented by small alphabets such as a,b,c,… Be careful while identifying the numerical value as it will always go with the positive or the negative sign.
Complete step-by-step answer:
A factor which contains at least one letter, in product form of a term is called a literal coefficient of the remaining factor.
Give example: $ 12{x^2}yz - 4x{y^2} $
Here, for $ 12{x^2}yz $ the numerical is $ 12 $ and lateral coefficient is $ {x^2}yz $
Similarly, $ - 4x{y^2} $ the numerical is $ - 4 $ and lateral coefficient is $ x{y^2} $
This is the required solution.
Note: Constants are the terms which are expressed with the fixed value and the it is represented by the numbers whereas the variables do not have any fixed value and they are represented by small alphabets such as a,b,c,… Be careful while identifying the numerical value as it will always go with the positive or the negative sign.
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