In the given expression $5 xy z^{2} - 3 zy$ , the coefficients of the respective terms are and .

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Detailed Solution

Concept: The coefficients are 5 and 3 respectively. Each term in an algebraic expression is separated by a positive or negative sign, as in the terms 5x, 3y, and 8, for example. When a term is made up of a constant multiplied by a variable or variable that constant is called a coefficient in the term 5x, the coefficient is 5, and a combination of these constant and variable connected by any one of the four fundamental operations by a positive sign or a negative sign, as in the terms 5x, 3y, and 8, respectively.
3zy, are made up of a constant multiplied by a variable, which is known as a coefficient. As we know, terms in an expression are separated from one another by the positive and negative signs. As a result, in the case of 5xy

z^{2}

-3zy, the constant is multiplied by 5 in the first term and by 3 in the second term. Coefficients are therefore 5 and 3.
Hence, the answer is 5 and 3.

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