Consider the algebraic equation: $3 x^{3} y - 4 x^{2} y^{2} + \frac{1}{2} x y^{2} - 5 x$ How many terms are there in the equation? List all the terms.What is the numerical coefficient of the term $\frac{1}{2} x y^{2}$ ?

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Solution

$3 x^{3} y - 4 x^{2} y^{2} + \frac{1}{2} x y^{2} - 5 x$
$\to$ we have $4$ terms
$\to$ list of terms
$3 x^{3} y, 4 x^{2} y^{2}, \frac{1}{2} x y^{2}, 5 x$
$\to$ coefficient of term $\frac{1}{2} x y^{2}$ is $\frac{1}{2}$ .

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