To address the problem, let's break down the information provided to complete the sentences accurately:
1. Constant of the polynomial:
The constant of a polynomial in context often represents fixed elements that do not vary with changes in the variable. In the context of revenue or cost associated with a product like shoes, the constant typically represents base revenue or fixed costs incurred regardless of how many pairs of shoes are sold.
- The constant of the polynomial represents the base revenue/fixed costs in the price per pair of shoes.
2. Binomial (30 + 5x) as a factor of polynomial R(x):
Binomials can represent various aspects based on the context. When analyzing the binomial (30 + 5x), it appears to describe a relationship between a fixed element and a variable component. In this case, the binomial can be interpreted as representing revenue since it consists of a constant term (which can denote base revenue) and a variable term multiplied by a coefficient (which can relate to the revenue per unit).
- The binomial (30 + 5x) represents revenue.
Next, we need to consider whether this binomial accounts for price decreases. The given information indicates that it does not take price decreases into account.
- Does this binomial take into account the price decreases? No
3. The binomial as the average per week and the change due to price decreases:
Finally, we consider the meaning of the binomial on a weekly basis. Given that it represents revenue, its average implication on a weekly basis would also represent the average revenue per week.
- The binomial represents the average revenue per week,
Also, concerning the impact of price changes, it is explicitly stated that the price decreases are not considered in this binomial.
- the change due to price decreases. No
So, putting it all together, the complete sentences are:
- The constant of the polynomial represents the base revenue/fixed costs in the price per pair of shoes.
- The binomial (30+ 5x) is a factor of polynomial R(x). Does this binomial represent revenue, number of customers, or price per pair of shoes? Revenue
Does this binomial take into account the price decreases? No
- The binomial represents the average revenue per week, the change due to price decreases. No
