Question

persevere write a polynomial that represents the sum of $2n + 1$ and the next two consecutive odd integers.

Explanation:

Step1: Identify next two odd integers

The next odd integer after $2n+1$ is $(2n+1)+2=2n+3$, and the one after that is $(2n+3)+2=2n+5$.

Step2: Sum all three integers

$$(2n+1)+(2n+3)+(2n+5)$$

Step3: Combine like terms

$$(2n+2n+2n)+(1+3+5)=6n+9$$

Step4: Factor the polynomial

$$6n+9=6n + 9$$

Answer:

$6n + 9$