Advanced MathEasy–MediumSum of coefficients of a squared binomial
Advanced Math practice question
When (2x + 1)² is written in the form ax² + bx + c, what is the value of a + b + c?
Answer: 9
(2x + 1)² = 4x² + 4x + 1, so a + b + c = 4 + 4 + 1 = 9. (Shortcut: substitute x = 1: (3)² = 9.)
Common wrong answers
- If you answered 3
- 3 is 2 + 1, the sum of the binomial's coefficients, not of the square's.
- If you answered 5
- 5 comes from 4x² + 1, forgetting the middle term 4x.
- If you answered 7
- 7 comes from a middle term of 2x (not doubling the cross product).
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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