Question
(b) Sally set up the problem and is stuck doing the division properly. Help Sally find her err [ x-2 sqrt(x^3)+2 x^(2-9 x+5) (-x^3+2 x^2)/(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
(262 Votos)
Leonardo
Mestre · Tutor por 5 anos
Resposta
### (B) Sally's second step is wrong
multiplied by
is
Explicação
## Step 1: Identify the error in Sally's setup### Sally's initial setup is correct. She correctly sets up the division with
as the divisor and
as the dividend.## Step 2: Check Sally's first division step### Sally correctly divides
by
to get
. She then multiplies
by
to get
, which she subtracts from
to get
.## Step 3: Check Sally's second division step### Here, Sally makes an error. She should divide
by
to get
, but she incorrectly writes
. This leads to an incorrect multiplication and subtraction in the subsequent steps.## Step 4: Verify the final step### In the final step, Sally should have multiplied by
instead of using
. This indicates another mistake in her calculations.