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If X = 5x^2 + 7x + 8 and Y = 4x^2 – 7x + 3, then find the degree of X + Y.

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If X = 5x2 + 7x + 8 and Y = 4x2 – 7x + 3, then find the degree of X + Y.

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Given x = 5x2 + 7x + 8

X + Y = 5x2 + 7x + 8 + (4x2 – 7x + 3)

= (5x2 + 4x2) + (7x – 7x) + (8 + 3)

= x2(5 + 4) + x(7 – 7) + (8 + 3) 

= 9x2 + 11

Degree of the expression is 2.

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