Question

Show that 3x+2 is a factor of 2x^3+3x^2-5x-6 Please Give me the genuine answer

Answer 1

Answer:

3x+2 is not a factor of 2x^3+3x^2-5x-6

Step-by-step explanation:

3x+2=0

3x=-2

x= -2/3 (substitute in the equation)

2(-2/3)^3 + 3 (-2/3)^2 -5 (-2/3) -6

2(8/27) + 3 (4/9) + 10/3 -6

16/27 + 12/9 + 10/3 -6

16/27 + 4/3 + 10/3 -6

L.C.M = 27

16/27 + 36/27 + 90/27 -162/27

I42/27 - 162/27

= 20/27 is not a factor

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