Homework SourseA partial solution set is given for the polynomial equation
A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.)
2x3 11x2 23x + 14 = 0; {1/2}
Solution
\"a\" is a solution to the polynomial equation f(x) = 0 if and only if (x-a) is a factor of f(x); that is, you can divide off (x-a) and leave no remainder.
2x^3 11x^2 23x + 14 = 0
=> (x-7)(x+2)(2x-1)=0
=> x= -2 , 1/2 , 7
