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descompumeti in factori ireductibili:

1. x²-5x-6
2. 3x²-10x+3​


Răspuns :

Explicație pas cu pas:

[tex] {x}^{2} - Sx + P = 0[/tex]

[tex]S = x_1+x_2 \\ P = x_1x_2[/tex]

1.

[tex]x²-5x-6 = {x}^{2} - 6x + x - 6 = x(x - 6) + (x - 6) = (x - 6)(x + 1)[/tex]

2.

[tex]3x²-10x+3 = 3 {x}^{2} - x - 9x + 3 = x(3x - 1) - 3(3x - 1) = (3x - 1)(x - 3)[/tex]

1) x² - 5x - 6 = x² + x-6x - 6 = x(x+1) - 6(x+1) = (x+1)(x-6)

2) 3x² - 10x + 3 = 3x² -x-9x + 3 = x(3x-1) - 3(3x-1) = (3x-1)(x-3)