Advanced MathVery hardSum of coefficients of a quotient by x
Advanced Math practice question
For x ≠ 0, the expression (x³ − 4x)/x is equivalent to ax² + bx + c, where a, b, and c are constants. What is the value of a + b + c?
Answer: -3
(x³ − 4x)/x = x² − 4, so a = 1, b = 0, c = −4 and their sum is −3.
Common wrong answers
- If you answered 1
- 1 is a alone.
- If you answered 5
- 5 uses c = 4, losing the sign.
- If you answered -4
- −4 is c alone.
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