Question

ache o quociente e o resto das divisões a) (x³-5x³+5x²+1)÷(x²+3x+1). b) (x³-x²+5x+6)÷(x+3) pessoal por favor me ajudem a resolver esse conta com os cálculos

Answer 1

.
$+x^4-5x^3+5x^2+0x+1 ~|~x^2+3x+1 \\ -x^4-3x^3-x^2~~~~~~~~~~~~~~------- \\ -------~~~~~~~~~~~~~~~x^2-8x+28 \\ 0x^4-8x^3+4x^2+0x \\ ~~~~~~+8x^3+24x^2+8x \\ ~~~~~---------- \\ ~~~~~~~~0x^3+28x^2+8x+1 \\ ~~~~~~~~~~~~-28x^2-84x-28 \\ ~~~~~~~~~---------- \\ ~~~~~~~~~~~~~~~~~0x^2-76x-27 \\ \\ Quociente=x^2-8x+28 \\ Resto=-76x-27$

$~+x^3-x^2+5x+6~|~x+3 \\ -x^3-3x^2~~~~~~~~~~~~~---- \\ ------~~~~~~~~~~~x^2-4x+17 \\ ~~0x^3-4x^2+5x \\ ~~~~~~~+4x^2+12x \\ ~~~-------- \\ ~~~~~~~~~0x^2+17x+6 \\ ~~~~~~~~~~~~~~-17x-51 \\ ~~~~~~--------- \\ ~~~~~~~~~~~~~~~~~~~~~~~-45 \\ \\ Quociente= x^{2} -4x+17 \\ Resto=-45$

Answer 2

X3-x2+5x+6/x+3
-x3-3x2 x2-4x+5Q(x)
-4x2+5x+6
4x2+12x
17x+6
- 17x-51
(- 45)R(x)