Question

Please help with this!

Answer 1

m = - 6.5

Explanation:

the remainder theorem states

if a function f(x) is divide by (x - a) then the remainder is equal to f(a)

given

p(x) is divided by (x - 2) then p(2) = 2 ( the remainder )

then

2
`(2)^(4)` - 5(2)² + 2m + 3 = 2

2(16) - 5(4) + 2m + 3 = 2

32 - 20 + 2m + 3 = 2

15 + 2m = 2 ( subtract 15 from both sides )

2m = - 13 ( divide both sides by 2 )

m = - 6.5