Final answer to the problem
$x-8$
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Step-by-step Solution
Specify the solving method
1
Divide $5x^2-42x+16$ by $5x-2$
$\begin{array}{l}\phantom{\phantom{;}5x\phantom{;}-2;}{\phantom{;}x\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{;}5x\phantom{;}-2\overline{\smash{)}\phantom{;}5x^{2}-42x\phantom{;}+16\phantom{;}\phantom{;}}\\\phantom{\phantom{;}5x\phantom{;}-2;}\underline{-5x^{2}+2x\phantom{;}\phantom{-;x^n}}\\\phantom{-5x^{2}+2x\phantom{;};}-40x\phantom{;}+16\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x\phantom{;}-2-;x^n;}\underline{\phantom{;}40x\phantom{;}-16\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}40x\phantom{;}-16\phantom{;}\phantom{;}-;x^n;}\\\end{array}$
2
Resulting polynomial
$x-8$
Final answer to the problem
$x-8$