Question

. If ( x-1) and ( x+3) are factors of x3 + 3x2
-x -3 ,find the other factor.​

Answer 1

Answer:

(x+1) is the other factor of the given equation.

Step-by-step explanation:

x³+ 3x²-x -3

given, (x-1) is a factor,

so, take x=1

1 |  1  3  -1  -3

  |  0  1   4   3

     1   4  3  | 0

Now, the equation gets reduced to x²+4x+3

also, given (x+3) is a factor

so, take x=-3

-3 |  1    4   3

   |  0  -3  -3

      1    1   | 0

further the equation is now reduced to x+1

=> (x+1) is the other factor of the given equation.