Question

if f(x) be a polynomial such that f(-2/3)=0,then calculate one factor of f(x)

Answer 1

Given that f(-2/3) = 0

So x + 2/3 can be a factor of f(x).

By multiply by 3, 3x + 2 can also be a factor of f(x).

Thank you. :-))

Answer 2

Given that

$f( \frac{ - 2}{3} ) = 0 \\ \\ x = \frac{ - 2}{3} \\ \\ x - ( \frac{ - 2}{3} ) = 0 \\ \\ x + \frac{2}{3} = 0$

$\boxed{ hence \: (x + \frac{2}{3} ) \: is \: a \: factor}$