Q. 23.8( 4 Votes )

# Find the remainder when p (x) = 4x3 + 8x2 – 17x + 10 is divided by (2x – 1).

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

= + 12

= - 8 + 12

= 4

Hence, remainder = 4

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