Q. 1 E4.5( 2 Votes )

# Choose the correct answer for the following:The degree of the polynomial x2 – 5x2y3 + 30x3 y4 – 576xy isA. –576B. 4C. 5D. 7

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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