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

Deductive reasoning

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)/ (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.