A) monomial and polynomial in y
B) binomial and polynomial
C) trinomial and polynomial
D) monomial and polynomial in x
Correct Answer: A
Solution :
Sol. (a) \[\operatorname{Required}\,\,sum = \{{{x}^{4}}-xy+2{{y}^{2}})+\left( -{{x}^{4}}+ xy+2{{y}^{2}} \right)\] \[= {{x}^{4}}-xy+2{{y}^{2}}-{{x}^{4}}\,+ xy+2{{y}^{2}}\] \[=\,\,[({{x}^{4}}+(-{{x}^{4}})]+\{-xy+xy)+(2{{y}^{2}}+2{{y}^{2}})\] \[= \,0+ 0+4{{y}^{2}}\] \[=4{{y}^{2}}\] \[=4{{y}^{2}}\] is a monomial and polynomial in y.You need to login to perform this action.
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