Question

x5-4x3+x2+3x+1 divide by x3-3x+1

Answer 1

Heya !!

Quotient :- x² - 1

Remainder :- 2

[ Whole Solution is in the attachment ]

Thanks :))

Answer 2

HELLO DEAR,


${x}^{3} - 3x + 1) {x}^{5} - 4 {x}^{3} + {x}^{2} + 3x + 1( {x}^{2} - 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} - 3 {x}^{3} + {x}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = = = = = = = = = = = \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - {x}^{3} + 3x + 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - {x}^{3} + 3x - 1\: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = = = = = = = = = = = = \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2$
hence ,

remainder = 2

quotient = (x² - 1)




I HOPE ITS HELP YOU DEAR,
THANKS