Degree of the expression $4 x^{4} + 3 x^{2} y - 5 x^{3} y^{2} + 6$

$4$

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$2$

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$1$

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$5$

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Solution

The correct option is D
$5$

The degree of the polynomial is the highest power of the variables in any term of the expression.
The given expression is $4 x^{4} + 3 x^{2} y - 5 x^{3} y^{2} + 6$
The degree of the term $4 x^{4}$ is $4$
The degree of the term $3 x^{2} y$ is $3$
The degree of the term $5 x^{3} y^{2}$ is $5$
and the degree of the term $6$ is $0$ …. ( $6$ is a constant $)$
The highest power of the term is $5$
Hence, the degree of the expression is $5$
The correct option is D

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