The degree of the polynomial fx-y-3x2y-2-xy3-4xy-8x is

As we know that the degree of the polynomial is the highest power of the term. Given, nbsp;f(x,y)=3x^2y 2√(x)y^3+4xy 8x So, the power of the term 3x^2y is 2+1 ...

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Standard XIII

Physics

Introduction

The degree of...

Question

The degree of the polynomial $f (x, y) = 3 x^{2} y - 2 \sqrt{x} y^{3} + 4 x y - 8 x$ is

1

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\frac{7}{2}

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Solution

The correct option is D $\frac{7}{2}$
As we know that the degree of the polynomial is the highest power of the term.
Given, $f (x, y) = 3 x^{2} y - 2 \sqrt{x} y^{3} + 4 x y - 8 x$
So, the power of the term $3 x^{2} y$ is $2 + 1 = 3$ , $2 \sqrt{x} y^{3}$ is $\frac{1}{2} + 3 = \frac{7}{2}$ , $4 x y$ is $1 + 1 = 2$ and $8 x$ is $1$ .
Hence, the degree of the polynomial is $\frac{7}{2}$ .

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The degree of the polynomial f(x,y)=3x2y−2√xy3+4xy−8x is

The correct option is D 72As we know that the degree of the polynomial is the highest power of the term. Given, f(x,y)=3x2y−2√xy3+4xy−8x So, the power of the term 3x2y is 2+1=3, 2√xy3 is 12+3=72, 4xy is 1+1=2 and 8x is 1. Hence, the degree of the polynomial is 72.

The degree of the polynomial $f (x, y) = 3 x^{2} y - 2 \sqrt{x} y^{3} + 4 x y - 8 x$ is