For the polynomial 6xy2 – 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing exponent of the y-term must be
1
.

The missing exponent of the y-term must be 1.

Step-by-step explanation:

Given:

Degree of trinomial is 3.

Degree is highest power of variables.

First term : 6xy² = Degree 3

Second term: 5x²y? = Degree should be 3 or less than 3

Power of x is 2. Sum of power of x and y should be 3 or less than 3

Let exponent of y be m

2 + m ≤ 3

m ≤ 1

For polynomial exponent should be positive.

Hence, The possible value of m is 0 and 1

If we take m=0 then second term 5x² that is like term with third term. Polynomial must be trinomial.

Therefore, The missing exponent of the y-term must be 1.

not sure srry man