Find the remainder when p (x) = 4x 3 + 8x 2 – 17x + 10 is divided by (2x – 1).

Question

Philoid · Accepted Answer

We have,

p (x) = 4x³ + 8x² – 17x + 10

Also, 2x – 1 = 0

2x = 1

x =

∴ p () = 4 ()³ + 8 ()² – 17 () + 10

= 4 × + 8 × - 17 × + 10

= + 2 – + 10

= + 12

= - 8 + 12

= 4

Hence, remainder = 4