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(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.

Pergunta

(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.

(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.

Solução

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LeonardoMestre · Tutor por 5 anos

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### (B) Sally's second step is wrong \( \mathrm{b} / \mathrm{c}-2 \) multiplied by \( 2 x \) is \( -4 x \)

Explicação

## Step 1: Identify the error in Sally's setup<br />### Sally's initial setup is correct. She correctly sets up the division with \( x - 2 \) as the divisor and \( x^3 + 0x^2 - 9x + 10 \) as the dividend.<br /><br />## Step 2: Check Sally's first division step<br />### Sally correctly divides \( x^3 \) by \( x \) to get \( x^2 \). She then multiplies \( x^2 \) by \( x - 2 \) to get \( x^3 - 2x^2 \), which she subtracts from \( x^3 + 0x^2 \) to get \( 2x^2 - 9x \).<br /><br />## Step 3: Check Sally's second division step<br />### Here, Sally makes an error. She should divide \( 2x^2 \) by \( x \) to get \( 2x \), but she incorrectly writes \( 4x \). This leads to an incorrect multiplication and subtraction in the subsequent steps.<br /><br />## Step 4: Verify the final step<br />### In the final step, Sally should have multiplied by \(-5\) instead of using \(5\). This indicates another mistake in her calculations.
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