AnswersVT-SAT-MathSimplifying Polynomial Expressions

Simplifying Polynomial Expressions Answers

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After multiplying each side of the equation by the LCD and simplifying, the resulting equation is .

A
3x² – 20x + 12 = 0
B
3x² – 20x – 12 = 0
C
3x² + 20x + 12 = 0
D
3x² + 20x – 12 = 0
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What are the solutions to the equation?

A
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Option A
B
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C
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Option C
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Option A
B
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Option B
C
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Option C
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Name the true solution(s) to the equation.

Answers:
Selection 1:x = 1 and x = 8
Selection 2:x = 0
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Answer:

No. Although solving the equation gives a = -2, substituting -2 makes two denominators in the original equation equal to zero. So -2 is an extraneous solution, and the original equation has no solution.

29

Which of the following did you include in your answer?

A
No, the student did not check the solution to the derived equation in the original equation.
B
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
C
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
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Question illustration
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Option A
B
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Option B
C
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Option C
D
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Option D

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