How do you use synthetic substitution to find x=1 for #P(x)=4x^3-5x^2+3#?
1 Answer
Explanation:
The remainder of the synthetic substitution will be equal to
The terms in the top row of the division will be the coefficients of the terms. Don't forget the missing
#{:(ul1"|",4,-5," 0"," 3"," "),(" ",ul" ",ul(" "color(red)4),ulcolor(blue)(-1),ulcolor(green)(-1),+),(" ",color(red)4,color(blue)(-1),color(green)(-1),"|"mathbf(" 2")," "):}#
The following is an explanation of the synthetic division:
Bring the original
Since the remainder is
This also shows us that
#(4x^3-5x^2+3)/(x-1)=4x^2-x-1+2/(x-1)#