Advanced MathHardQuotient of a difference of squares by a binomial
Advanced Math practice question
For x > 1, the expression (9x² − 4)/(3x − 2) is equivalent to ax + b, where a and b are constants. What is the value of a · b?
Answer: 6
9x² − 4 = (3x − 2)(3x + 2), so the quotient is 3x + 2 and a · b = 6.
Common wrong answers
- If you answered 1
- 1 is a − b.
- If you answered 5
- 5 is a + b.
- If you answered -6
- −6 has the sign wrong.
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