Question

Divide:-
2x⁴+3x³-5x²+4x-1 by x-1​

Answer 1

$\Large{\underline{\underline{\bf{Solution :}}}}$

☯ Given :

(2x⁴ + 3x³ - 5x² + 4x - 1) is devided by (x - 1)

$\rule{200}{1}$

☯ To Find :

We have to find the remainder and quotient when polynomial (2x⁴ + 3x³ - 5x² + 4x - 1) is devided by (x - 1).

$\rule{200}{1}$

☯ Solution :

We can do this question by two methods.

★ First Method ⤵⤵⤵

$\sf{\rightarrow x - 1 = 0} \\ \\ \sf{\rightarrow x = 1} \\ \\ \bf{Put \: value \: of \: x \: in \: polynomial.} \\ \\ \sf{\rightarrow 2(1)^4 + 3(1)^3 - 5(1)^2 + 4(1) - 1} \\ \\ \sf{\rightarrow 2 + 3 - 5 + 4 - 1} \\ \\ \sf{\rightarrow 9 - 6} \\ \\ \sf{\rightarrow 3}$

$\rule{200}{2}$

★ Second Method ⤵⤵⤵

For second method refer to the Attachment.

$\Large{\implies{\boxed{\boxed{\sf{Quotient : 2x^3 + 5x^2 + 4}}}}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Remainder : 3}}}}}$