Respuesta :
Hello,
Answer A
x²+4x+3=(x+3)(x+1)
x^3+6x²+11x+6=(x+1)(x²+5x+6)
x²+5x+6=(x+2)(x+3)
so
x^3+6x²+11x+6=(x+1)(x+2)(x+3) (Horner's method)
Answer A
x²+4x+3=(x+3)(x+1)
x^3+6x²+11x+6=(x+1)(x²+5x+6)
x²+5x+6=(x+2)(x+3)
so
x^3+6x²+11x+6=(x+1)(x+2)(x+3) (Horner's method)
If you would like to solve (x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3), you can do this using the following steps:
(x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3) = ((x + 1) * (x + 2) * (x + 3)) / ((x + 1) * (x + 3)) = x + 2
The correct result would be x + 2.
(x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3) = ((x + 1) * (x + 2) * (x + 3)) / ((x + 1) * (x + 3)) = x + 2
The correct result would be x + 2.