Question

find the reminder when f(x) =x²-6x²+2x-4 is divided by g(x) =1-2x
​

Answer 1

Answer:

$\huge\colorbox{yellow}{Answer\:-}$

The zero of g(x) = 1 - 2x is x = 1/2

Now,

By the remainder theorem the remainder should be f(1/2)

$f( \frac{1}{2}) = {( \frac{1}{2}) }^{3} - 6 {( \frac{1}{2}) }^{2} + 2( \frac{1}{2}) - 4$

$= ( \frac{1}{8}) - 6( \frac{1}{4}) + 1 - 4$

$= ( \frac{1}{8}) - ( \frac{6}{4}) - 3$

$= \frac{1 - 12 - 24}{8}$

$\pink{ = > - \frac{35}{8} }$

$\huge\colorbox{yellow}{Thank\:You}$

$we \: value \: your \: care$