For the polynomial 6xy2−5x2y?+9x2 to be a trinomial with a degree of 3 after it has been fully simplified, what is the missing exponent of the y in the second term?

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Question

For the polynomial 6xy2−5x2y?+9x2 to be a trinomial with a degree of 3 after it has been fully simplified, what is the missing exponent of the y in the second term?

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Mercury · Answer

in order for it to be a trinomial with a degree of 3 after being fully simplified...
- there must be 3 distinct terms, even after like terms are combined
- the highest sum of exponents for any term must be 3

can you go through the choices and try them one by one to see which one will fulfill both these requirements?