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Question Number 187302 by anurup last updated on 17/Feb/23

$$f\left(4\right)=44,f\left(m\right)=52,f\left(l\right)=-33$$ $$l,m\mathrm{are}\mathrm{positive}\mathrm{integers}\mathrm{such}\mathrm{that}4<m<l$$ $$\mathrm{and}f\left(x\right)\mathrm{is}\mathrm{a}\mathrm{polynomial}\mathrm{with}\mathrm{integer}\mathrm{coefficients}.$$ $$\mathrm{Find}l+m.$$

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