Question

1. $3p + 2p^3 - 16p^2$ 5. $-6 + 8m^2 - 4m + 9m^3$ 6.

Explanation:

Assuming the problem is to rewrite the polynomials in standard form (descending order of exponents).

For Problem 4: \( 3p + 2p^3 - 16p^2 \)

Step 1: Identify the exponents of each term

• The term \( 2p^3 \) has an exponent of 3.
• The term \( -16p^2 \) has an exponent of 2.
• The term \( 3p \) has an exponent of 1 (since \( p = p^1 \)).

Step 2: Rearrange the terms in descending order of exponents

Start with the term with the highest exponent, then the next, and so on. So we rearrange \( 2p^3 - 16p^2 + 3p \).

Step 1: Identify the exponents of each term

• The term \( 9m^3 \) has an exponent of 3.
• The term \( 8m^2 \) has an exponent of 2.
• The term \( -4m \) has an exponent of 1.
• The term \( -6 \) is a constant term (exponent 0 for the variable \( m \)).

Step 2: Rearrange the terms in descending order of exponents

Start with the term with the highest exponent, then the next, and so on. So we rearrange \( 9m^3 + 8m^2 - 4m - 6 \).

Answer:

\( 2p^3 - 16p^2 + 3p \)

For Problem 5: \( -6 + 8m^2 - 4m + 9m^3 \)