SOLUTION: perform the indicated operations (x^2-2x+3)(x^2+x+1)

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Question 513741: perform the indicated operations
(x^2-2x+3)(x^2+x+1)

Answer by solver91311(24713) About Me  (Show Source):
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This works just like the FOIL process where you multiply two binomials. The difference is that you will have nine multiplications instead of just four. First term of the first trinomial times each of the terms in the second trinomial, then the second term of the first trinomial times each of the terms in the second trinomial, and finally, the third term of the first trinomial times each of the terms in the second trinomial. When you are done with all nine multiplications, collect like terms.

Hint: As you move from term to term in the first trinomial, write the results below the previous result lining up the like powered terms. That makes it lots easier to collect like terms at the end and to make sure you don't miss a multiplication inadvertently.

John

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