Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standard form? Check all that apply.

  • 2x2y2 – 3xy3

–4x3y2

x3

8.4x4y2

5x4y

–xy3

Verified Answer :

Answer:

Option 2 - \(-4x^3y^2\)

Option 5 - \(5x^4y\)

Step-by-step explanation:

To find : Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standard form?

Solution :

The polynomial with a degree of 5 means the polynomial of highest power must be 5.

Now, we check one by one,

1) \(2x^2y^2-3xy^3\) - the highest degree is 4

2) \(-4x^3y^2\) - the highest degree is 5

3) \(x^3\) - the highest degree is 3

4) \(8.4x^4y^2\) - the highest degree is 6

5) \(5x^4y\) - the highest degree is 5

6) \(-xy^3\) - the highest degree is 4

Therefore, In the above options- option 2 and 5 has the highest degree 5 which means they both have a polynomial with a degree of 5.

Answer:

option 1

option 4

Step-by-step explanation: