3 votes 3 votes The greatest and the least value of $f(x)=x^4-8x^3+22x^2-24x+1$ in $[0,2]$ are $0,8$ $0,-8$ $1,8$ $1,-8$ Calculus nielit2016mar-scientistb engineering-mathematics calculus maxima-minima + – admin asked Mar 31, 2020 • retagged Oct 23, 2020 by Krithiga2101 admin 664 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes We can use synthetic division if one of the root is known. Vieta's formula for cubic polynomial can also be used, but I found this one easier. Confirming with Desmos neel19 answered Sep 16, 2022 neel19 comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes Answer should be D, The max value of the given expression will be when x=0 and the minimum value will be when x=2 Sherrinford03 answered Jun 26, 2020 Sherrinford03 comment Share Follow See all 0 reply Please log in or register to add a comment.