16Hit 1600
Advanced MathEasy–MediumCoefficient and exponent after dividing monomials

Advanced Math practice question

For x ≠ 0, the quotient 12x⁵ ÷ 4x² equals c·xⁿ for constants c and n. What is the value of c + n?

Answer: 6

Coefficients divide (12 ÷ 4 = 3) and exponents subtract (5 − 2 = 3): 3x³, so c + n = 6.

Common wrong answers

If you answered 3
3 is each of c and n separately; the question asks for their sum.
If you answered 10
10 uses n = 7 from adding exponents; division subtracts them: 5 − 2 = 3.
If you answered 11
11 uses c = 8 from subtracting coefficients; they divide: 12 ÷ 4 = 3.

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