By remainder theorem find the remainder when , p(x)= 4x³- 12x² + 14x – 3 is divided by g(x) =2x – 1


pls answer AS

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1. [tex]\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Question:-}}}}}}}[/tex]

   By remainder theorem find the remainder when , p(x)= 4x³- 12x² + 14x – 3 is divided by g(x) =2x – 1.

   [tex] \Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Answer:-}}}}}}} [/tex]

   2x – 1 = 0

   2x = 1

   x = ½

   According to remainder theorem apply the value of x in p(x)

   p(x) = 4x³- 12x² + 14x – 3

   p(½) = 4(½)³ – 12(½)² + 14(½) – 3

   = 4(⅛) – 12(¼) + 7 – 3

   [tex] = \frac{1}{2} – 3 + 7 – 3 = \frac{1}{2} + 1

   \\

   =\frac{1+2}{2} = \frac{3}{2}[/tex]

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