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A demo of this topic where I stack the l ike terms in columns as a perform the distributions connecting each term of the first polynomial to each term in the other.
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This shows both a subtraction and an addition example for finding the sum and difference of two trinomials.
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This shows how to factor the numerator and denominator of a fraction in algebra so that we can reduce the same factors ono the top and the bottom because they divide to one.
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This shows the last step in simplifying a rational expression, i.e. dividing out factors that reduce to one.
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This demonstrates why symthetic division works when dividing by a simple binomial as in x + a or x - a. Then it shows how to fill in the answers for this type of question.
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