Question

(x-1) is the one of the factor of polynomial x²-11x+10 then another factor is​

Answer 1

Given:

$\\ \\ (x - 1) \: \: is \: \: a \: \: factor \: \: of \: \: the \: \: \\ equation \: \: ( \: {x}^{2} - 11x + 10 \: )$

SOLUTION:

USING FACTOR THEOREM,

$\\ \\ \\ = \frac{( \: {x}^{2} - 11x + 10 \: )}{( \: x - 1 \: )} \\ \\ \\ = (x - 10) \\ \\ \\ hence \: \: (x - 10) \: \: is \: \: also \: \: a \: \: factor \\ \\ of \: \: ( \: {x}^{2} - 11x + 10 \: )$