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mash [69]
3 years ago
8

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

ynomial 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.
Mathematics
2 answers:
Alex777 [14]3 years ago
3 0

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.


mel-nik [20]3 years ago
3 0
1. 5
2. 6
 The sum will be degree: 5
The maximum number of terms of the sum is: 6
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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Data

f(x) = x + 2

g(x) = 4x²

a) Calculate (f°g)(x)

Just sum the function

(f°g)(x) = (4x²) + 2

-Simplification

(f°g)(x) = 4x² + 2

b) (f + g)(x)

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-Simplification

(f + g)(x) = 4x² + x + 2

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(f - g)(-3) = -4(9) - 3 + 2

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