Question

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 Nicole’s 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 1

the sum will be degree 5

the maximum number of terms of the sum is 6

Explanation:

Answer 2

Raj writes to polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5
Could for example be the following polynomial:
Aa ^ 5 + Ba ^ 3 + Ca + D

Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2

The polynomial is:
Ea ^ 2 + Fa + G

Adding both polynomials we have:

(Aa ^ 5 + Ba ^ 3 + Ca + D) + (Ea ^ 2 + Fa + G)
Aa ^ 5 + Ba ^ 3 + Ea ^ 2 + (C + F) a + (D + G)

Answer:
The sum will be degree = 5
The maximum number of terms of the sum is 6, but it could be less. (5 in our example)