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

Answer:

The new sum have degree = 5 

 The maximum number of terms of the sum is 6, but it could be less.                                

Step-by-step explanation:

Given :

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

Let the  polynomial:  $Aa^5 + Ba^3 + Ca + D$

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

The polynomial is:  $Ea ^ 2 + Fa + G$

Now, adding both polynomials we have:

$(Aa ^ 5 + Ba ^ 3 + Ca + D) + (Ea ^ 2 + Fa + G)$

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

→ The new sum have degree = 5 

→ The maximum number of terms of the sum is 6, but it could be less.

Answer 2

1. 5
2. 6
 The sum will be degree: 5
The maximum number of terms of the sum is: 6