Question

The value of m, if the polynomial, p(x) = 4x²-4x - m is exactly divisble by (x -3) is​

Answer 1

Answer:

By remainder theorem:-

f-(x)

x=3

Substituting x:-

4x²-4x - m

$4 \times {3}^{2} - 4 \times 3 - m = 0$

$4 \times 9 - 12 - m = 0$

$36 - 12 - m = 0$

24-m=0

m=0+24

m=24

Hence,

m should be 24 to actually divide the polynomial completely by (x-3)

Answer 2

24 is your correct answer