Question

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

Answer 1

It must be 1,

I hope it help you

Answer 2

Answer:e

Exponent of y is 1.

Explanation:

We have been given the polynomial
`6xy^2-5x^2y? +9x^2`

Also it has been given that the degree of the polynomial is 3.

We know that the degree of a polynomial is highest exponent.

In case of more than one variables in a polynomial, we add the exponent of the variables of each term. The highest number must be the degree of the polynomial.

Now, since the degree of the polynomial is 3. Hence, the sum of the exponent of the variables x and y must be 3.

Mathematically, we can write

exponent of x + exponent of y = 3

2 + ? = 3

Subtract 2 to both sides

? = 1

Hence, the exponent of y is 1.