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ICSE Class 7 Answered

Find space degree space and space value space of space the space follwing space polynomial space when space straight x space equals space 0 space and space straight y space equals space 3. straight x cubed plus 3 xy squared minus 6 straight y plus straight y cubedPlease provide solution to this question
Asked by Topperlearning User | 16 Sep, 2016, 03:02: PM
answered-by-expert Expert Answer

Degree space of space the space polynomial space is space the space highest space sum space of space the space powers space of space the space variables space in space each space term. In space the space polynomial space straight x cubed plus 3 xy squared minus 6 straight y plus straight y cubed space the space sum space of space the space powers space of space straight x space and space straight y space in space different space terms space are space space 3 comma space 3 comma space 1 comma space 3. The space highest space sum space of space the space powers space is space 3. Therefore space the space degree space of space the space space polynomial space straight x cubed plus 3 xy squared minus 6 straight y plus straight y cubed space space is space 3. When space straight x equals 0 space and space straight y equals space 3 space then space value space of space the space given space expression space is comma straight x cubed plus 3 xy squared minus 6 straight y plus straight y cubed space equals open parentheses 0 close parentheses cubed plus 3 open parentheses 0 close parentheses open parentheses 3 close parentheses minus 6 open parentheses 3 close parentheses plus open parentheses 3 close parentheses cubed space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 0 plus 0 minus 18 plus 27 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9

Answered by | 16 Sep, 2016, 05:02: PM

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