Question

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


pls answer ASAP!!! ​

Answer 1

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

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Answer:-}}}}}}}$

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

$= \frac{1}{2} - 3 + 7 - 3 = \frac{1}{2} + 1</p><p>\\</p><p>=\frac{1+2}{2} = \frac{3}{2}$