Find the remainder when p(x) =4(x^3) -12(x^2) +14x-3 is divided by (2x-1).
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( 2x - 1 ) =0
x = 1 / 2
by remainder theorem..
now,
p ( 1/2 ) = 4 (1/2)^3 - 12 (1/2)^2 + 14(1/2) - 3
= 4 * 1/ 8 - 12 * 1/4 + 14 * 1/2 - 3
= 1 / 2 - 3 + 7 - 3
= 1/2 + 1
= 0.5 + 1 = 1.5 ans.
x = 1 / 2
by remainder theorem..
now,
p ( 1/2 ) = 4 (1/2)^3 - 12 (1/2)^2 + 14(1/2) - 3
= 4 * 1/ 8 - 12 * 1/4 + 14 * 1/2 - 3
= 1 / 2 - 3 + 7 - 3
= 1/2 + 1
= 0.5 + 1 = 1.5 ans.
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