Sabiendo que : x1 = - 4 V = ( - 1 ; - 12 )Hallar la forma factorizada de la función de segundo grado?

TareaSabiendo que : x1 = - 4V = ( - 1 ; - 12 )Hallar la forma factorizada de la función de segundo grado.

Respuesta : <img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B%20Forma%20%5C%20Factorizada%5Cto%20f%28x%29%3D%5Cdfrac%7B4%7D%7B3%7D%28x%2B4%29%28x-2%29%20%7D%7D" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=V%3D%28-1%3B-12%29%5Cqquad%20x_1%3D-4%5C%5C%5C%5Cf%28x%29%3Da%28x%2B1%29%5E2-12%5Cto%20Forma%20%5C%20Can%5C%27onica%5Ctof%28x%29%3Da%28x-h%29%5E2%5Cpm%20k%20%5C%5C%5C%5C%200%3Da%28-4%2B1%29%5E2-12%5C%5C%5C%5C%200%3Da%28-3%29%5E2-12%5C%5C%5C%5C%200%20%2B%2012%3Da.9%5C%5C%5C%5C%5Cdfrac%7B12%7D%7B9%7D%3Da%2C%20entonces%5Cto%20f%28x%29%3D%5Cdfrac%7B4%7D%7B3%7D%28x%2B1%29%5E2-12" />Ahora que encontramos la forma Canónica, desarrollamos en Polinómica para hallar la Forma Factorizada<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B4%7D%7B3%7D%28x%2B1%29%5E2-12%5C%5C%5C%5Cf%28x%29%3D%5Cdfrac%7B4%7D%7B3%7D%28x%5E2%2B2x%2B1%29-12%5C%5C%5C%5Cf%28x%29%3D%5Cdfrac%7B4%7D%7B3%7Dx%5E2%2B%5Cdfrac%7B8%7D%7B3%7Dx%2B%5Cdfrac%7B4%7D%7B3%7D-12%5C%5C%5C%5C%5Cbold%7Bf%28x%29%3D%5Cdfrac%7B4%7D%7B3%7Dx%5E2%2B%5Cdfrac%7B8%7D%7B3%7Dx-%5Cdfrac%7B32%7D%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%5Cbold%7Bf%28x%29%3D%5Cdfrac%7B4%7D%7B3%7Dx%5E2%2B%5Cdfrac%7B8%7D%7B3%7Dx-%5Cdfrac%7B32%7D%7B3%7D%7D%5C%5C%5C%5C%5C%5Cf%28x%29%3D%5Cdfrac%7B4%7D%7B3%7D%28x%5E2%2B2x-8%29%7D%5C%5C%5C%5C%5C%5C%5Cbold%7Bf%28x%29%3D%5Cdfrac%7B4%7D%7B3%7D%28x%2B4%29%28x-2%29%7D%5Cto%20Forma%20%5C%20Factorizada" />

Espero que te sirva, salu2!