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Can Someone please help me i dont understand this 

 Nov 13, 2021
 #1
avatar+805 
+3

\(ax^2 + bx + c = a(x-r_1)(x-r_2) \\ ax^2 + bx + c = a(x^2 + x(-r_1 - r_2) + r_1 r_2) \\ ax^2 + bx + c = a \cdot x^2 + a \cdot x(-r_1 - r_2) + a \cdot r_1 r_2 \\ a(-r_1-r_2)=b \\ (-1)(a)(r_1+r_2)=b \\ r_1 + r_2 = - \frac{b}{a} \\ a \cdot r_1 r_2 = c \\ r_1 r_2 = \frac{c}{a}\)

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 Nov 14, 2021
 #2
avatar+805 
+2

Note that Vieta's can be generalized for degree $n.$ Try finding a formula.

 Nov 14, 2021
 #3
avatar+79 
0

Thanks 

 Nov 14, 2021

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