Question
(b) Sally set up the problem and is stuck doing the division properly. Help Sally find her error [ x-2 sqrt(x^3)+0 x^(2-9 x+10) -x^3+2 x^2-9 x (-2 x^2+4 x)/(0-5 x+10) (5 x-10)/(0) ] (A) Sally's initial setup is wrong b / c there is a coefficient of zero in the cubic. B Sally's second step is wrong b / c-2 multiplied by 2 x is -4 x (C) In the final step, Sally should have multiplied by -5 instead of using 5 (D) All of Sally's work is correct.
Solution
4.1
(233 Votos)
Diana
Mestre · Tutor por 5 anos
Resposta
### (D) All of Sally's work is correct.
Explicação
## Step 1: Analyze Sally's Work### We need to carefully check each step of Sally's polynomial division to identify any errors.## Step 2: Verify Initial Setup### The initial setup provided by Sally is correct. She correctly sets up the dividend
and the divisor
.## Step 3: Check First Division Step### Sally divides
by
to get
, which is correct. She then multiplies
by
to get
. Subtracting this from
results in
, which is also correct.## Step 4: Check Second Division Step### Sally brings down the next term, resulting in
. She divides
by
to get
, which is correct. However, when she multiplies
by
, she should get
. Subtracting
from
should result in
. This indicates that her second step is correct.## Step 5: Check Third Division Step### Sally brings down the last term, resulting in
. She divides
by
to get
, which is correct. She then multiplies
by
to get
. Subtracting
from
results in
, which is correct.## Step 6: Identify Error### Upon reviewing all steps, it appears that Sally's work is correct. There are no errors in her polynomial division process.