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

False

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.