Question

If you divide a polynomial f(x) by the factor (x - 4), the remainder will be equal to f(-4). true or false ?

Answer 1

Answer:

FALSE

Step-by-step explanation:

Given the polynomial f(x)  divided by  x-4

To check whether the remainder will be equal to f(-4), we need to get whether the value of x is -4 if we set x-4 to zero as shown;

x- 4 = 0

Add 4 to both sides

x - 4 + 4 =  0+4

x = 4

Since the value of x is 4 not -4 hence the remainder will NOT be equal to f(-4). The answer is false