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Question

Identify the algebraic expression is polynomials. If so, write their degree .

xy+xy-7


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Solution

Finding whether xy+xy-7 is polynomial or not .

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer

Thus, an algebraic expression of the form a+bx+cx2+dx3+..., where a,b,c,d...are constants and xis a variable, is called a polynomial in the variable x.

No term in a polynomial can be of the form 1x,1y,1x2,xyetc

Therefore, xy+xy-7=xy+xy-1-7 is not a polynomial because the exponent of variable y is negative.

Hence, it has no degree .


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