Question 415706
foil is an acronym for first, outer, inner, last.


your factors are (x + 24) * (x + 0)


you have a left factor and a right factor.


x + 24 is the left factor
x + 0 is the right factor


the first terms in each factor are x from the left factor and x from the right factor.


the outer terms in each factor are x from the left factor and 0 from the right factor.


the inner terms in each factor are 24 from the left factor and x from the right factor.


the last terms in each factor are 24 from the left factor and 0 from the right factor.


ussng foil you would


multiply x * x (first terms in each factor)
multiply x * 0 (outer terms in each factor)
multiply 24 * x (nner terms in each factor)
multiply 24 * 0 (last terms in each factor)


you would get x^2 + 0 + 24x + 0 which you would then add together to get:


x^2 + 24x.


that would be your answer.


(x+24) * (x+0) = x^2 + 24x


you can also use the distributive property of arithmetic to get the same result.


(x + 24) * (x + 0) = x * (x + 0) + 24 * (x + 0)


the reslt of this is x^2 + 0 + 24x + 0 which becomes x^2 + 24x


here's a reference on distributive property of multiplication.


<a href = "http://math.about.com/od/algebra/a/distributive.htm" target = "_blank">http://math.about.com/od/algebra/a/distributive.htm</a>





foil is just another way to accomplish the same thing.