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2 problems match “factor pairs”. Clear

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1. Possible values of c in a polynomial identity ●●●○○ 50 ptsGiven integers $a$, $b$ and $c$ such that the equation $(x+a)(x+b)+c(x-10)=(x-11)(x+1)$ holds for all $x$, find all possible values of $c$.
2. Initial terms of a recursive sequence ●●●○○ 50 ptsLet the sequence of positive integers $\{a_n\}$ satisfy $a_{n+3}=a_{n+2}\left(a_{n+1}+2a_n\right)$ for $n=1,2,\ldots$, and $a_6=2288$. Find $a_1$, $a_2$, $a_3$.