Suppose 3s represents an even integer. What polynomial represents the product of 3s, the even integer that comes just before 3s, and integer that comes just after 3.
3s(3s-2)(3s+1)= multipy them out
I assume you meant the integer that comes just after 3s, not 3.
To find the polynomial that represents the product of 3s, the even integer that comes just before 3s, and the integer that comes just after 3, we can follow these steps:
Step 1: Represent the even integer that comes just before 3s.
Since 3s represents an even integer, we can write the even integer preceding it as (3s - 2).
Step 2: Represent the integer that comes just after 3.
We know that an integer that comes just after 3 is (3 + 1), which simplifies to 4.
Step 3: Represent the product of the three considered terms.
To find the product, we simply multiply the three terms: (3s) * (3s - 2) * 4.
So, the polynomial that represents the product of 3s, the even integer that comes just before 3s, and the integer that comes just after 3 is:
P(s) = (3s) * (3s - 2) * 4.