Adding and Subtracting Polynomials

Question 1

What do the properties of polynomial addition mean? Complete each statement.

Revolt · Accepted Answer

The closure property states that the sum of two polynomials is a .: polynomial; The commutative property states that changing the order of two or more terms the value of the sum.: does not change; The associative property states that the way in which two or more terms are grouped in a sum the value.: does not change

Question 2

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.

Revolt · Accepted Answer

⇒ 5: 5; ⇒ 6: 6

Question 3

Complete the steps to find the sum. What is the sum?

Revolt · Accepted Answer

–4g4 – 3g3 + 4g2 + 5g + 3

Question 4

Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)

Revolt · Accepted Answer

⇒ 7: 7; 5: 3; 3: 0

Question 5

The sum of two polynomials is –yz2 – 3z2 – 4y + 4. If one of the polynomials is y – 4yz2 – 3, what is the other polynomial?

Revolt · Accepted Answer

3yz2 – 3z2 – 5y + 7

Question 6

⇒ 129

Revolt · Accepted Answer

129

Adding and Subtracting Polynomials Answers

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