Maths-
SAT
Easy
Question
x(x + 1) + 2(x + 1) = ax2 +bx+ c
In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of a + b + c ?
- 6
- 5
- 4
- 3
The correct answer is: 6
x (x + 1) + 2 (x + 1) = ax2 + bx + c
x2 + x 2x + 2 = ax2 + bx + c
x2 + 3x + 2 = ax2 + bx + c
a = 1; b = 3; c = 2
a + b + c = 1 + 3 + 2 = 6.
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