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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)

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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).
User Ozgur Ozturk
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7 votes

Answer:

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.

User Bonusrk
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8.6k points

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