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Remainder Theeremp:/ Let pex) be any polynomial of degree geuter tail q,oyerto one and let a be any reat number: If p(x) is divided bythe linear polynomial x-a, then the remainder is p(a

Answer»

If you divide a polynomial f(x) by (x - h), then theremainderis f(h). Thetheoremstates that ourremainderequals f(h). Therefore, we do not need touselong division, but just need to evaluate the polynomial when x = h to find theremainder

Example2x2−5x−1 is divided by x−3

2(3)2−5(3)−1 = 2x9−5x3−1= 18−15−1=2And that is the remainder we got from our calculations above.

Hii thanks for the help



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