Question

Divide using synthetic division and write quotient and remainder. (2x^4-3x^3+ 5x-4) ÷ (x-1 )

and also write dividend, dividend in the index form , dividend in the coefficient form , coefficient form of quotient, quotient in the index form





please answer it fast i will make u brainlist


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Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{2x^4-3x^3+ 5x-4 \;\div\;(x-1)}$

$\underline{\textbf{To find:}}$

$\textsf{The quotient and remainder}$

$\underline{\textbf{Solution:}}$

$\textsf{We apply synthetic division to find the quotient and remainder}$

$\underrline{\textbf{Sythetic division:}}$

$\mathsf{\begin{array}{c|cccc}1&2&-3&5&-4\\&&&&\\&&2&-1&4\\\cline{2-5}&2&-1&4&\boxed{0}\end{array}}$

$\mathsf{Then,}$

$\mathsf{Quotient=2x^2-x+4}$

$\mathsf{Remainder=0}$

Answer 2

Answer:

Hope you get the correct answer.