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Question Number 168229 by mathlove last updated on 06/Apr/22

Answered by mr W last updated on 06/Apr/22

$$x=2:$$$$P\left(0\right)-P\left(0\right)=4a-2b+12=0$$$$\Rightarrow 2a-b+6=0$$$$x=4:$$$$P\left(2\right)-P(-2)=16a-4b+12$$$$x=0:$$$$P(-2)-P\left(2\right)=12$$$$16a-4b+12=-12$$$$\Rightarrow 4a-b+6=0$$$$\Rightarrow a=0,b=6$$$$\Rightarrow a+b=6$$

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