16Hit1600
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).

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