



 
Hi Victoria, What you want to use is that fact that if f(x) is a polynomial and (x  a) is a factor of the polynomial than f(a) = 0. This is easy to see because if (x  a) is a factor of f(x) then
where g(x) is some polynomial. Now substitute x = a and the left side is f(a) and the right side is (a  a) g(a) = 0. In your problem f(x) = x^{3}+bx^{2}14x+24 and a = 2. Thus f(2) = 0. So evaluate f(2) and the resulting equation f(2) = 0 you can solve for b. Penny  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 