How do you use synthetic substitution to find x=2 for #f(x) = 3x^5-2x^2+x#?

1 Answer
Jul 17, 2018

Answer:

#"Quotient " 3x^4 + 6x^3 + 12x^2 + 22 x + 45#

#"Remainder " = 90 / (x-2)#

Explanation:

#2 " " | " " 3 " " 0 " " 0 " " -2 " " 1 " " 0#

#" " | " " darr " " 6 " " 12 " " 24 " " 44 " " 90#

#" " | " - - - - - - - - - - - - - - - - - - - - - " #

#" " | " " 3 " "6 " " 12 " " 22 " " 45 " " 90#

#" " | " - - - - - - - - - - - - - - - - - - - - - - "#

#"Quotient " 3x^4 + 6x^3 + 12x^2 + 22 x + 45#

#"Remainder " = 90 / (x-2)#