(x-3) is a factor of P(x) what is (P-3)
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) α+β = 2 αβ = -15
2α+ 2β = 4 4αβ = - 60
x² - 4 x - 60
2) - 2 / k = 3k/k => k = -2/3
3) f(a) = - a³ + a a² + 3a + 9 = 3 a + 9 = 0 => a = -3
4)
\frac{x-a}{b+c}+\frac{x-b}{c+a}+\frac{x-c}{a+b}=3\\\\\frac{x-a}{b+c}+\frac{x-b}{c+a}=3-\frac{x-c}{a+b}\\\\\frac{xc+ax-ac-a^2+xb+xc-bc-b^2}{(b+c)(a+c)}=\frac{3a+3b-x+c}{a+b}\\\\\frac{x(a+b+2c)-(a^2+b^2+ac+bc)}{ab+ac+bc+c^2}=\frac{3a+3b+c-x}{a+b}
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