
Identify terms which contain $x$ and give coefficient of $x$.
A) ${y^2}x + y$
Answer
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Hint: According to given in the question we have to identify term which contain $x$ and give coefficient of $x$ for the expression ${y^2}x + y$ so first of all we have to understand about the coefficient of a term which is explained as below:
A coefficient is a number multiplied by a variable and is a multiplicative factor in some term of a polynomial, a series, or for any expression.
Complete step-by-step answer:
Step 1: First of all we have to find the variables in the given expression: ${y^2}x + y$ hence, there are 2 variables x and y.
Step 2: Now, we have to find the coefficient of x which can be obtained by maximum power of a given variable x.
Hence, the coefficient of the variable x is 1.
Hence, we have obtained the variable for the given expression ${y^2}x + y$ and the coefficient is 1.
Note: Coefficients of a term or variable can be positive or negative or zero and while adding or subtracting, we just have to add or subtract the coefficient in the like terms.
Like terms are the terms who have the same variable. Variable is not the same for unlike terms.
A coefficient is a number multiplied by a variable and is a multiplicative factor in some term of a polynomial, a series, or for any expression.
Complete step-by-step answer:
Step 1: First of all we have to find the variables in the given expression: ${y^2}x + y$ hence, there are 2 variables x and y.
Step 2: Now, we have to find the coefficient of x which can be obtained by maximum power of a given variable x.
Hence, the coefficient of the variable x is 1.
Hence, we have obtained the variable for the given expression ${y^2}x + y$ and the coefficient is 1.
Note: Coefficients of a term or variable can be positive or negative or zero and while adding or subtracting, we just have to add or subtract the coefficient in the like terms.
Like terms are the terms who have the same variable. Variable is not the same for unlike terms.
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