Question

Which of the following shows 9x^2y − 4x + 3y^3x − 2y^2 written in standard form?

9x^2y − 4x + 3y^3x − 2y2

3y^3x − 2y^2 + 9x^2y − 4x

9x^2y − 4x − 2y^2 + 3y^3x

3y^3x + 9x^2y − 2y^2 − 4x

I have attached a picture of the problem as well.

Answer 1

The answer is choice B

Answer 2

In order to write the above equation in standard form, we need to figure out the degree of each term and then write all the terms in descending order.

Therefore,

The degree of Equation 1 is:
9x²y − 4x + 3y³x − 2y²

2+1 1 3+1 2

3 1 4 2

This can't be the answer because 3, 1, 4, 2 are not in descending order.

The degree of Equation 2 is:
3y³x − 2y² + 9x²y − 4x

3 + 1 2 2 + 1 1

4 2 3 1

This can't be the answer because 4, 2, 3, 1 are not in descending order.


The degree of Equation 3 is:
9x²y − 4x − 2y² + 3y³x

2 + 1 1 2 3+1

3 1 2 4

This can't be the answer because 3, 1, 2, 4 are not in descending order.


The degree of Equation 4 is:
3y³x + 9x²y − 2y² − 4x

3 + 1 2+1 2 1

4 3 2 1

This can be the answer because 4, 3, 2, 1 are in descending order.

Hence,
The correct answer is:
3y³x + 9x²y − 2y² − 4x