Dado los polinomios P(x) = + 5x + 6 y g(x) = 4x3 - 8x2 + 6x - 10 Hallar : p (X) + g(X) P(x) - g(x) P(x) * g(x)?
Dado los polinomios P(x) = + 5x + 6 y g(x) = 4x3 - 8x2 + 6x - 10 Hallar : p (X) + g(X) P(x) - g(x) P(x) * g(x).
Dado los polinomios P(x) = + 5x + 6 y g(x) = 4x3 - 8x2 + 6x - 10 Hallar : p (X) + g(X) P(x) - g(x) P(x) * g(x).
Pregunta de Matemáticas · 1 respuesta · 6 votos · mejor respuesta de Cosi1231
En resumen
<img src="https://tex.z-dn.net/?f=P%28x%29%20%3D%205x%2B6%20%5C%20%5C%20%5C%20%5C%20%5C%20g%28x%29%20%3D4x%5E%7B3%7D%20-8x%5E%7B2%7D%2B6x-10%20%5C%5C%5C%5C%20Hallar%3A%20P%20%28x%29%2Bg%28x%29%20%5C%20%5C%20%5C%20%5C%20P%28x%29-g%28x%29%20%5C%20%5C%20%5C%20%5C%20%5C%20P%28x%29.
<img src="https://tex.z-dn.net/?f=P%28x%29%20%3D%205x%2B6%20%5C%20%5C%20%5C%20%5C%20%5C%20g%28x%29%20%3D4x%5E%7B3%7D%20-8x%5E%7B2%7D%2B6x-10%20%5C%5C%5C%5C%20Hallar%3A%20P%20%28x%29%2Bg%28x%29%20%5C%20%5C%20%5C%20%5C%20P%28x%29-g%28x%29%20%5C%20%5C%20%5C%20%5C%20%5C%20P%28x%29.g%28x%29%20%5C%5C%5C%5C%20P%28x%29%2Bg%28x%29%3D%5C%5C%5C%5C%205x%2B6%2B4x%5E%7B3%7D-8x%5E%7B2%7D%2B6x-10%3D%204x%5E%7B3%7D%20-8x%5E%7B2%7D%2B11x-4%20%5C%5C%5C%5C%20P%28x%29-g%28x%29%3D%20%5C%5C%5C%5C%205x%2B6-%284x%5E%7B3%7D-8x%5E%7B2%7D%2B6x-10%29%3D%20%5C%5C%5C%5C%205x%2B6%20-%204x%5E%7B3%7D%2B8x%5E%7B2%7D-6x%2B10%3D%20%5C%5C%5C%5C%20-%204x%5E%7B3%7D%2B8x%5E%7B2%7D-x%2B16%20%5C%5C%5C%5C%20P%28x%29.g%28x%29%3D%20%5C%5C%5C%5C%20%285x%2B6%29%284x%5E%7B3%7D-8x%5E%7B2%7D%2B6x-10%29%3D%20%5C%5C%5C%5C%2020x%5E%7B4%7D-40x%5E%7B3%7D%2B30x%5E%7B2%7D-50x%2B24x%5E%7B3%7D-48x%5E%7B2%7D%2B36x-60%3D%20%5C%5C%5C%5C%2020x%5E%7B4%7D-16x%5E%7B3%7D-18x%5E%7B2%7D-14x-60%20%5C%5C%5C%5C%20espero%20%5C%20%5C%20haberte%20%5C%20%5C%20ayudado" />.
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Asi tienes 3 raizes : 1, - 3 y 2.
P(x) = x² - 2x - 15 P(1) = (1)² - 2(1) - 15 = 1 - 2 - 15 = - 1 - 15 = - 16 P( - 1) = ( - 1)² - 2( - 1) - 15 = 1 + 2 - 15 = 3 - 15 = - 12 P(0) = (0)² - 2(0) - 15 = - 15 El P(x) se hace cero, cuando el resultado de este…