Mathegoras

Algebra › Expressions and identities › Comparing coefficients

Possible values of c in a polynomial identity

High school · ●●●○○ 50 pts

Given integers aa, bb and cc such that the equation (x+a)(x+b)+c(x−10)=(x−11)(x+1)(x+a)(x+b)+c(x-10)=(x-11)(x+1) holds for all xx, find all possible values of cc.

Enter the values in any order.

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algebraic identitiesfactor pairssystems of equations