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

1 Answer
Jul 17, 2018

"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)