Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.

A. [tex]\(-5xy^3 + 9x^2y\)[/tex]

B. [tex]\(0\)[/tex]

C. [tex]\(5xy^3\)[/tex]

D. [tex]\(9x^2y\)[/tex]

E. [tex]\(8.4\)[/tex]

F. [tex]\(4xy^3\)[/tex]

Sagot :

GinnyAnswer
To determine which terms could be the missing first term of an expression that, when fully simplified, would be a binomial with a degree of 4, we need to understand the degree of each term provided. A binomial has two distinct terms, and the degree of the binomial is determined by the highest degree among its terms.

Let's analyze the degree of each provided term separately:

1. [tex]\(-5xy^3 + 9x^2y\)[/tex]
- The term [tex]\(-5xy^3\)[/tex] has a degree of [tex]\(1+3 = 4\)[/tex] (since the exponent of [tex]\(x\)[/tex] is 1, and the exponent of [tex]\(y\)[/tex] is 3).
- The term [tex]\(9x^2y\)[/tex] has a degree of [tex]\(2+1 = 3\)[/tex] (since the exponent of [tex]\(x\)[/tex] is 2, and the exponent of [tex]\(y\)[/tex] is 1).

2. [tex]\(0\)[/tex]
- This term is [tex]\(0\)[/tex] and does not contribute to the degree of a polynomial.

3. [tex]\(5xy^3\)[/tex]
- This term has a degree of [tex]\(1+3 = 4\)[/tex] (since the exponent of [tex]\(x\)[/tex] is 1, and the exponent of [tex]\(y\)[/tex] is 3).

4. [tex]\(9x^2y\)[/tex]
- This term has a degree of [tex]\(2+1 = 3\)[/tex] (since the exponent of [tex]\(x\)[/tex] is 2, and the exponent of [tex]\(y\)[/tex] is 1).

5. [tex]\(8.4\)[/tex]
- This is a constant term and has a degree of 0.

6. [tex]\(4xy^3\)[/tex]
- This term has a degree of [tex]\(1+3 = 4\)[/tex] (since the exponent of [tex]\(x\)[/tex] is 1, and the exponent of [tex]\(y\)[/tex] is 3).

After identifying the degrees of each term, we need to form a binomial with the highest degree of 4. Looking at the terms, [tex]\(-5xy^3\)[/tex], [tex]\(5xy^3\)[/tex], and [tex]\(4xy^3\)[/tex] all have a degree of 4.

Given that we need to choose three options that could serve as the missing first term in an expression that, when fully simplified, is a binomial with a degree of 4, we can choose any of these three terms as they already have a degree of 4 and can contribute to forming a binomial of degree 4 when paired with appropriate terms.

Therefore, the three options are:

- [tex]\( -5xy^3 + 9x^2y \)[/tex]
- [tex]\( 5xy^3 \)[/tex]
- [tex]\( 4xy^3 \)[/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.