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Home / x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a + a)x + (b + c) = x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (2a - b)x + (b + c)

x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a + a)x + (b + c) = x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (2a - b)x + (b + c)

February 22, 2026

x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a + a)x + (b + c) = x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (2a - b)x + (b + c)

Related Articles

Expand right-hand side:
= x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a)x + b
Add \(ax + c\):
Match coefficients:
\(x^4\): 1 = 1 â
\(x^3\): \(a - 1 = 3 \Rightarrow a = 4\)

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