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Chapter 0: Problem 104

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the FOIL method to find the product of \(x+5\) and \(x^{2}+2 x+1\)

Short Answer

Expert verified
The statement does not make sense because the FOIL method is only applicable to the multiplication of binomials and here we are dealing with a binomial and a trinomial.

Step by step solution

01

Understanding the FOIL method

The FOIL method stands for First, Outer, Inner, and Last. It is a method for multiplying binomials. Since the second expression \(x^{2}+2 x+1\) is not a binomial (it's a trinomial), you cannot directly use the FOIL method.
02

Evaluation

By considering the nature of the FOIL method, it can be concluded that the statement 'I used the FOIL method to find the product of \(x+5\) and \(x^{2}+2 x+1\)' does not make sense because the FOIL method can only be applied to the multiplication of binomials.

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