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The FOIL method is used to multiply together two polynomials, each consisting of two terms.

In general the polynomials could be of any degree and each could contain a number of variables. However, FOIL is generally used for two monomials in one variable; that is

(ax + b) and (cx + d)

To multiply these two monomials together -

F = Multiply together the FIRST term of each bracket: ax * cx = acx2

O = Multiply the OUTER terms in the way the brackets are written out= ax * d = adx

I = Multiply the INNER terms = b * cx = bcx

L = Multiply the LAST terms of each bracket = b * d = bd

Add together: acx2 + adx + bcx + bd

Lastly, combine the middle two terms which are "like" terms to give

acx2 + (ad + bc)*x + bd

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Q: Explain the FOIL method of multiplying polynomials?
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