fins the roots factors of the polynomial p(x)=x^3+6x^2+11x+6
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Step-by-step explanation:
x³+6x²+ 9x+2x+6
x(x²+ 2*x*3 +9) +2x +6
x(x+3)² + 2(x+3)
(x+3)(x(x+3) +2)
(x+3)(x²+3x+2)
(x+3)(x²+2x+x+2)
(x+3)(x(x+2)+1(x+2))
(x+3)(x+1)(x+2)
roots are-1,-2,-3
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