Question

Use the remainder theorem to find the remainder, when

(2x – 1)

3

+ 6(3 + 4x)

2

is divided by 2x + 1

​

Answer 1

Step-by-step explanation:

Let f(x) = 4x3– 5x + 1

a) When f(x) is divided by x – 2, remainder,

R = f(2) = 4(2)3– 5(2) + 1 = 23

b) When f(x) is divided by x + 3, remainder,

R = f(–3) = 4(–3)3– 5(–3) + 1 = –92

c) When f(x) is divided by 2x – 1, remainder,