SAT Math Multiple Choice Question 406: Answer and Explanation
What is the result of dividing the two expressions above?
Correct Answer: C
Category: Passport to Advanced Math / Exponents
Strategic Advice: Division and factoring are interchangeable, so think of factoring out the x. Then, instead of dividing by you can multiply by its reciprocal, 2. Using these two strategies will make solving a question like this considerably easier.
Getting to the Answer: First, divide (factor) out the x by subtracting 1 from each exponent: The result is
Now, multiply each term by 2 to get this: