Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified? It has 2 terms and a degree of 2. It has 2 terms and a degree of 3. It has 4 terms and a degree of 2. It has 4 terms and a degree of 4.

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Answer:

B. It has 2 terms and a degree of 3.

Step-by-step explanation:

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The degree of the polynomial after it is simplified is; B: It has 2 terms and a degree of 3

What is the degree of the polynomial?

We are given the polynomial;

3x²y² - 5xy² - 3x²y² + 2x²

From the polynomial, we see that 3x²y² will cancel out to give;

- 5xy² + 2x²

Now, we can see that the polynomial has been reduced to 2 terms. However, for the degree we see that the term - 5xy² has two variables x and y. Thus, the degree of the polynomial is the sum of the power of x and y in - 5xy².

Thus, degree of polynomial = 2 + 1 = 3

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