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Level 1

Identify the sum of the roots of f ( x ) = − x 2 − 3 x + 4 = − ( x + 4 ) ( x − 1 ) f(x)=-x^2-3x+4=-(x+4)(x-1) .


The answer is -3.

Terry Yu by Terry Yu , 17, USA

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1 solution

Terry Yu
May 11, 2017

Those two equations are equal so y = − ( x + 4 ) ( x − 1 ) y=-(x+4)(x-1) and the values of x when y=0 is -4 and 1. -4+1 = -3, so the answer is − 3 \large\color{#20A900}\boxed{-3} .

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