Question

Descopune in factori ×^2-8x+7

Answer 1

${x}^{2} - 8x + 7 = {x}^{2} - 7x - x + 7 = x( \frac{ {x}^{2} }{x} - \frac{7x}{x}) + ( - x + 7) = x( {x}^{2 - 1} - 7) + ( - x + 7) = x(x - 7) + ( - x + 7) = (x - 7)( \frac{x(x - 7)}{x - 7} + \frac{ - x + 7}{x - 7}) = (x - 7)(x - 1)$

Answer 2

Răspuns

Explicație pas cu pas:

Viete, suma 8, produsul 7, deci radacini 1 si 7

x^2-8x+7= (x-1)(x-7)