Q. 1 E4.5( 2 Votes )

Choose the correct answer for the following:

The degree of the polynomial x2 – 5x2y3 + 30x3 y4 – 576xy is
A. –576

B. 4

C. 5

D. 7

Answer :

x2 – 5x2y3 + 30x3 y4 – 576xy is a polynomial in variable x and y.


Term 1: x2 variable x, power of x is 2. Hence the power of the term is 2.


Term 2: – 5x2y3 the variables are x and y; the power of x is 2 and the power of y is 3.


Hence the power of the term –5x2y3 is 2 + 3 = 5 [Sum of the exponents of variables x and y ].


Term 3: 30x3y4 the variables are x and y; the power of x is 3 and the power of y is 4. Hence the power of the term 30x3y4 is 3 + 4 = 7 [Sum of the exponents of variables x and y ].


Term 4: – 576xy the variables are x and y; the power of x is 1 and the power of y is 1. Hence the power of the term -576xy is 1 + 1 = 2 [Sum of the exponents of variables x and y ].


So the highest power is 7,hence the degree of the polynomial is 7.

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