Question

What must be added to ( x^3 - 4x^2 + 3x - 14 ) to obtain a polynomial which is exactly divisible by ( x − 4) ?

Answer 1

Answer:

2

Step-by-step explanation:

let x³-4x²+3x-14 be p(x) and x-4 be g(x)

by dividing p(x) by g(x), we get remainder -2... thus we must subtract -2 from p(x) to make it divisible by g(x)

since subtracting -2 is the same as adding 2... we should add 2 to make p(x) divisible by g(x)