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PtichkaEL
7 days ago
13

Raj and Nicole's polynomial expressions are added to create a sum, written in standard form. What can you determine about the de

gree of the sum? The sum will be degree . What can you determine about the number of terms of the sum? The maximum number of terms of the sum is , but it could be less.
Mathematics
1 answer:
Leona [11.2K]7 days ago
6 0

The complete question is as follows:

Raj composes a polynomial expression in standard form with one variable, a, possessing 4 terms, and has a degree of 5. Nicole produces a polynomial expression in standard form with a single variable, a, featuring 3 terms and a degree of 2. Upon adding Raj and Nicole's polynomial expressions to form a sum in standard form, what can be deduced about the degree of the sum? The sum will have a degree of ____. What can be inferred about the number of terms in the sum? The maximum number of terms in the sum is ____, although it could be fewer.

Answer:

Degree: 5

Maximum number of terms: 6 or possibly fewer

Step-by-step explanation:

According to the information, Raj develops a polynomial in standard format with one variable, a, that contains 4 terms and has a degree of 5. This polynomial can be expressed as: Aa^(5) + Ba^(3) + Ca + D

Furthermore, we're informed that Nicole creates a polynomial expression in standard form using one variable, a, which consists of 3 terms and has a degree of 2.

The polynomial can be represented as: Ea² + Fa + G

Adding both polynomials yields;

Aa^(5) + Ba^(3) + Ca + D + Ea² + Fa + G

Rearranging results in:

Aa^(5) + Ba^(3) + Ea² + Ca + Fa + D + G

Combining similar terms, we obtain:

Aa^(5) + Ba^(3) + Ea² + a(C + F) + (D + G)

Thus, the sum remains a polynomial of degree 5.

Also, it's evident from the previous steps that the sum could feature a maximum of 6 or fewer terms.

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