Question

Find all the zeros of 4 x power 4 - 20 x cube + 23 x square + 5 x minus 6 if two of its zeros are 2 and 3

Answer 1

$4 {x}^{4} -20 {x}^{3} + 2 {x}^{2} + 5x - 6 \\ factors \: from \: the \: zeros \: \\ (x - 2)(x - 3) = {x}^{2} - 5x + 6 \\ now \: divide \: \: \: polynomial \: by \: this \: and \: take \\ \: factors \: of \: quotient \: and \: find \\ \: remaining \: two \: zeros$