We will solve as follows:
So, we are trying to find:
[tex]\frac{5x^3-12x^2-11x+6}{x+1}[/tex]
Now, we proceed as follows:
*We take the constant term of the divisror with the opposite sign and write it to the left.
*We write the coefficients of the dividenf to the right:
Then, we proceed to operate:
From this, we will have that the quotient is:
[tex]5x^2-17x+6[/tex]
And the remainder is 0.
So, (x + 1) is in fact a factor of (5x^3 -12x^2 -11x + 6).
