Carlos graphed the system of equation that can be used to solve x^3-2x^2+5x-6=-4x2+14x+12 what are the roots of the polynomial equstion
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- 2 , 3 , - 3 are the roots of the polynomial equation x³- 2x² + 5x - 6= -4x² + 14x + 12
Step-by-step explanation:
x³- 2x² + 5x - 6= -4x² + 14x + 12
=> x³ + 2x² - 9x - 18= 0
=> x²(x + 2) - 9(x + 2) = 0
=> (x² - 9) (x + 2) = 0
=> (x² - 3²) (x + 2) = 0
=> (x + 3)(x - 3)(x + 2) = 0
x = - 2 , 3 , - 3
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