Question 1
Which of the following is equivalent to \(\frac{x^3 + 3x^2 - 4x}{x - 1}\) for \(x \neq 1\)?
Hard - Quiz 1
Tackle challenging expression rewrites involving polynomial division, rational simplification, and strategic factoring.
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Answer question 1 to unlock
A chemist models the concentration of a solution as \(\frac{6t^2 + 7t - 20}{2t + 5}\) milligrams per liter, where \(t\) is the number of hours since the experiment began. Which of the following is an equivalent expression for \(t \neq -\frac{5}{2}\)?
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Answer question 2 to unlock
Which of the following is equivalent to \(\frac{3}{x + 2} + \frac{5}{x - 3}\)?
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Answer question 3 to unlock
A city planner estimates that the cost, in thousands of dollars, to widen a road is given by the expression \(\frac{4x^3 - 9x}{2x + 3}\), where \(x\) is the number of miles. For \(x > 0\), which of the following is equivalent to this expression?
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Answer question 4 to unlock
If \(a = 3\) and \(b = -2\), which of the following expressions is equivalent to \(\frac{(a^2 b^{-1})^3}{a^{-3} b^2}\)?
correct answers