64.8k views
1 vote
The product of two integers is w2 − 3w − 40, where w is a whole number. Write

expressions for each of the two integers in terms of w.
...?

User Mohsenmadi
by
7.5k points

2 Answers

5 votes

Final answer:

To find the two integers in terms of w, we need to factorize the given expression, w^2 - 3w - 40. The expression can be factorized as (w - 8)(w + 5). So, the two integers can be represented as (w - 8) and (w + 5).

Step-by-step explanation:

To write expressions for each of the two integers in terms of w, we need to factorize the given expression, w^2 - 3w - 40. The expression can be factorized as (w - 8)(w + 5). So, the two integers can be represented as (w - 8) and (w + 5).

User Alex Fragotsis
by
8.4k points
4 votes
To find the product of the two integers, the equation given has to be simplified. This simplified result would yield the correct answer.

w^2 − 3w − 40 = w^2 - 8w + 5w - 40
= w(w - 8) + 5(w - 8)
= (w + 5)(w - 8)

I hope that this is the answer that you were looking for and the answer has actually come to your desired help.
User Yadab
by
8.3k points