2006-11-28T22:13:34Z https://matematicasies.com/polinomios-teorema_resto#comment64 2006-11-28T22:13:34Z

<p><img src='https://matematicasies.com/local/cache-TeX/830f80976e81bd6bb30c4ea7c3a91c3f.png' style="vertical-align:middle;" width="200" height="47" alt="P(x) = x^3 + 3x^2 - 10x" title="P(x) = x^3 + 3x^2 - 10x"> divisible por <img src='https://matematicasies.com/local/cache-TeX/f643ca70163829caa717e223176954fe.png' style="vertical-align:middle;" width="187" height="42" alt="(x-2) \Longleftrightarrow P(2) = 0" title="(x-2) \Longleftrightarrow P(2) = 0"> <br> <img src='https://matematicasies.com/local/cache-TeX/03c3997655b14419a54e1422dc0f4615.png' style="vertical-align:middle;" width="380" height="47" alt="P(2) = 2^3 + 3 \cdot 2^2 - 10 \cdot 2 = 8 + 12 - 20 = 0" title="P(2) = 2^3 + 3 \cdot 2^2 - 10 \cdot 2 = 8 + 12 - 20 = 0"> <br> Por tanto <img src='https://matematicasies.com/local/cache-TeX/c19f6b6a7bae1fd5b14f578c6edc3454.png' style="vertical-align:middle;" width="45" height="42" alt="P(x)" title="P(x)"> <strong>si es</strong> divisible por <img src='https://matematicasies.com/local/cache-TeX/4505fe843fb838e5cfc7903c252e01fd.png' style="vertical-align:middle;" width="63" height="42" alt="(x-2)" title="(x-2)"></p> <p><img src='https://matematicasies.com/local/cache-TeX/e7361ae03386e9d54c9f7c5914116f03.png' style="vertical-align:middle;" width="213" height="47" alt="Q(x) = x^3 + 2x^2 - x -2" title="Q(x) = x^3 + 2x^2 - x -2"> divisible por <img src='https://matematicasies.com/local/cache-TeX/57ca9068b5df88ba4b1751b0780c4ff3.png' style="vertical-align:middle;" width="188" height="42" alt="(x-2) \Longleftrightarrow Q(2) = 0" title="(x-2) \Longleftrightarrow Q(2) = 0"> <br> <img src='https://matematicasies.com/local/cache-TeX/8614bc5fc1cddac509e3650a04de7ac3.png' style="vertical-align:middle;" width="443" height="47" alt="Q(2) = 2^3 + 2 \cdot 2^2 - 2 -2 = 8 + 8 - 2 -2 = 12 \neq 0" title="Q(2) = 2^3 + 2 \cdot 2^2 - 2 -2 = 8 + 8 - 2 -2 = 12 \neq 0"> <br> Por tanto <img src='https://matematicasies.com/local/cache-TeX/372712f15064fe31e71e4d2329b235db.png' style="vertical-align:middle;" width="47" height="42" alt="Q(x)" title="Q(x)"> <strong>no es</strong> divisible por <img src='https://matematicasies.com/local/cache-TeX/4505fe843fb838e5cfc7903c252e01fd.png' style="vertical-align:middle;" width="63" height="42" alt="(x-2)" title="(x-2)"></p> <p> </p>