Question

John concludes that, since (x - 5) is a factor of the polynomial x2 - 25, if he performed the long division (x2 - 25) ÷ (x - 5), the remainder would be zero. This is an example of ___________ reasoning(x2 - 25)

Answer 1

John concludes that, since (x - 5) is a factor of the polynomial x2 - 25, if he performed the long division (x2 - 25) ÷ (x - 5), the remainder would be zero. This is an example of deductive reasoning(x2 - 25).

Answer 2

Answer:

Deductive reasoning

Step-by-step explanation:

Given : John concludes that, since (x-5) is a factor of the polynomial $x^2-25$, if he performed the long division $(x^2-25)\div (x-5)$, the remainder would be zero.  

To find : This is an example of ___________ reasoning $x^2-25$?

Solution :

The above situation make conclusion when we know the fact that (x-5)

is the factor as the factor of polynomial divide it completely.

Therefore, This is the example of deductive reasoning.

Deductive reasoning is the process by which a person makes conclusions based on previously known facts.