Question

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

Answer 1

Answer:

False

Step-by-step explanation:

Given

Polynomial: f(x)

Divisor: (x - 4)

Required

Determine the remainder

To determine the remainder, we have to equate x - 4 to 0

i.e.

$x - 4 = 0$

Add 4 to both sides

$x - 4+4 = 0+4$

$x = 0+4$

$x = 4$

Substitute 4 for x in f(x) to get the remainder.

So, f(x) becomes f(4)

The result of f(4) is the remainder f(x) when divided by x - 4

Hence, the statement is false.