P (x) = 8x³ + 42x² + 37x + 30 = 8x³ + 42x² + 37x + 30 - 8x³ - 42x² - 37x - 3 =0-8x³ - 8x² - 34 x² -34x - 3x - 3 = 0-8x² * (x + 1) - 34x * (x + 1) - 3 (x + 1) = 0- (x + 1) * (8x² + 34x + 3 ) = 0(x + 1 ) * (8² + 34x + 3) = 08+1 = 08x² + 34 x + 3 = 0x = -1x₁ = -17 - √265 / 8,x₂ = -1 ,x₃ = -17 + √265 / 8
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P (x) = 8x³ + 42x² + 37x + 3
0 = 8x³ + 42x² + 37x + 3
0 - 8x³ - 42x² - 37x - 3 =0
-8x³ - 8x² - 34 x² -34x - 3x - 3 = 0
-8x² * (x + 1) - 34x * (x + 1) - 3 (x + 1) = 0
- (x + 1) * (8x² + 34x + 3 ) = 0
(x + 1 ) * (8² + 34x + 3) = 0
8+1 = 0
8x² + 34 x + 3 = 0
x = -1
x₁ = -17 - √265 / 8,
x₂ = -1 ,
x₃ = -17 + √265 / 8