Question

Find the remainder when 4x3 - 3x2 + 4x - 2 is divided by x space plus space 1 half2

Answer 1

Answer:

- 21/4

Step-by-step explanation:

p(x) = 4x³ - 3x² + 4x - 2

g(x) = x + 1/2

x + 1/2 = 0

x = - 1/2

By remainder theorem the remainder when p(x) is divided by g(x) Is p( - 1/2)

Thus,

p( - 1/2)= 4 ( - 1/2)³ - 3( - 1/2)² + 4( - 1/2) - 2

= - 1/2 - 3/4 -2 -2

= ( - 2 - 3 - 8 - 8)/4

= - 21/4