Final answer:
The expression 17(5)(9+14y) simplifies to 765 + 1190y, which has two terms. Thus, the statement about having exactly four terms is false, and one term being 23 is also false. The expression has exactly three factors, and the constant in the factor 9+14y is 9, but 9 and 14y are not separate factors.
Step-by-step explanation:
When examining the expression 17(5)(9+14y), we can determine several key characteristics. First, the expression can be simplified to 85(9+14y), which has two terms after applying the distributive property: 765 + 1190y. Thus, the statement that there are exactly 4 terms is false. Secondly, regarding the statements presented:
- One term of the expression is 23 - This is false as neither 765 nor 1190y equals 23.
- The expression has exactly 3 factors - This is true, as the factors are 17, 5, and (9+14y).
- The constant in the factor 9+14y is 9 - This is true.
- The factors in the expression are 17,5,9, and 14y - This is false because 9 and 14y are not factors but terms of a single binomial factor (9+14y).
It's important to eliminate terms wherever possible to simplify the algebra and to check the answer to see if it is reasonable.