Question

If X-2 and X+3 are factors of 6X^3+aX^2+bX+16.Determine the values of a and b and any remaining factor(10marks)

Answer 1

Since, x-2 and x+3 are the factors of the given equation.
Therefore, first put x=2 in the equation and then x=-3.
This way you'll get two equations in terms of a and b. Solve these equations and you'll get the value of a and b. Now, put these values and finally find the remaining root.
Hope you got it!