The-constant-term-in-the-polynomial-P-x-x-2-x-7-Q-x-1-2x-1-is-20-What-is-the-sum-of-coefficients-of-the-polynomial-Q-x-

Tinku Tara June 4, 2023 Arithmetic 0 Comments

Question Number 176849 by Ar Brandon last updated on 27/Sep/22

The constant term in the polynomial P(x)=(x^2 +x−7)Q(x+1)+2x+1 is −20. What is the sum of coefficients of the polynomial Q(x) ?

$$\mathrm{The}\:\mathrm{constant}\:\mathrm{term}\:\mathrm{in}\:\mathrm{the}\:\mathrm{polynomial} \\ $$$$\mathrm{P}\left({x}\right)=\left({x}^{\mathrm{2}} +{x}−\mathrm{7}\right){Q}\left({x}+\mathrm{1}\right)+\mathrm{2}{x}+\mathrm{1} \\ $$$$\mathrm{is}\:−\mathrm{20}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{coefficients}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{polynomial}\:\mathrm{Q}\left({x}\right)\:? \\ $$

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