raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5…

raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5. nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2. raj and nicoles polynomial expressions are added to create a sum, written in standard form. what can you determine about the degree 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.

raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5. nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2. raj and nicoles polynomial expressions are added to create a sum, written in standard form. what can you determine about the degree 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.

Answer

Explanation:

Step1: Determine the degree of the sum

When adding polynomials, the degree of the sum is the highest degree of the polynomials being added. Raj's polynomial is degree 5 and Nicole's is degree 2. Since (5>2), the degree of the sum is 5.

Step2: Determine the maximum number of terms

Raj's polynomial has 4 terms and Nicole's has 3 terms. When adding, if there are no like - terms to combine (i.e., terms with the same variable and exponent), the maximum number of terms in the sum is (4 + 3=7).

Answer:

The sum will be degree (5). The maximum number of terms of the sum is (7).