ANSWER
- OPTION C (Use synthetic division and see if the remainder is zero) , probably option c would be the perfect answer amongst the given options above. There are 3 possible ways to determine the factor in a given polynomial equation/function. These are synthetic division,long division , and substitution.
SOLUTION
Substituting the value of x-2=0 or x=2 to the polynomial equation.
[tex]2x³-5x²+x-2 \\ \implies2( \blue2)^{3} - 5 { {( \blue{2})}}^{2} + \blue{( \cancel2)} - \cancel2 \\ \implies2( \blue8) - 5( \blue4) \\ \implies16 - 20 \\ \implies - 4[/tex]
Therefore we conclude that x-2 is not a factor of 2x³-5x²+x-2 because the remainder or the result i not zero.
[tex] \overbrace{ \underbrace{ \tt{} \purple{ \: \: Stay \: safe \: and \: God \: bless \: you! \: \: }}}[/tex]
