Question

Find the remainder when the polynomial f(x) = 4x3 – 12x2+ 14x – 3 is divided by 2x-1

Answer 1

$\boxed{ \: Answer \: = > \: \frac{3}{2}}$

According to remainder theorem , We know that if f(x) is divided by ( x - b) , then remainder = f(b) .

$\bold{If p(x) is divided by 2x-1 ,}$

$\bold{2x - 1 = 0}$

$\bold{2x = 0 + 1}$

$\bold{x = 1 \div 2}$

$\bold{Remainder\:=\:1\div2}$

$\bold{substitute \: \frac{1}{2} \: in \: place \: of \: x}$

$\bold{4(\frac{1}{2} )^3-12(\frac{1}{2} )^2+14(\frac{1}{2} ) -3}$

$\bold{4(\frac{1}{8} ) -12(\frac{1}{4} )+7 -3}$

$\bold{(\frac{1}{2} ) -3 +7 -3}$

$\bold{(\frac{1}{2} ) + 1}$

$\bold{=\:(\frac{3}{2} )}$

$\bold{=\:(\frac{3}{2} )}$

$\underline{Answer\:=\:(\frac{3}{2} )}$

Answer 2

Answer:

this what i did

Step-by-step explanation:

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