Respuesta :
notice, the factor or divisor is x-5, so we could just do a quick synthetic division on it for x - 5 = 0, x = 5, so, let's divide it by 5.
[tex]\bf \cfrac{3x^2+5x+50}{x-5}\implies \begin{array}{llllll} 5&&3&5&50\\ &&&15&70\\ --&&--&--&--\\ &&3&20&\boxed{120}\impliedby remainder \end{array}[/tex]
now, notice the remainder, is NOT 0.
[tex]\bf \cfrac{3x^2+5x+50}{x-5}\implies \begin{array}{llllll} 5&&3&5&50\\ &&&15&70\\ --&&--&--&--\\ &&3&20&\boxed{120}\impliedby remainder \end{array}[/tex]
now, notice the remainder, is NOT 0.
it is not a factor because when you divide it by 5, the remainder is not 50.
