How do you use the factor theorem to determine whether y-2 is a factor of $3y^4 – 6y^3 – 5y + 10$ ?

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Answer 1 · 2018-05-14T14:33:41

$(y-2)" is a factor"$

$"if "y-2" is a factor then "f(2)=0$

$f(2)=3(2)^4-6(2)^3-5(2)+10$

$color(white)(f(2))=48-48-10+10=0$

$rArr(y-2)" is a factor of the polynomial"$

How do you use the factor theorem to determine whether y-2 is a factor of 3y^4 – 6y^3 – 5y + 103y^4 – 6y^3 – 5y + 10?