Expand the expression. (5th degree)
Author: shiroeExecutions: 1623
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Enter the values for a, b, c, d, and e on the left-hand side.
Enter x. x is used for verification.
Output k5, k4, k3, k2, k1, and k0 on the right-hand side.
Substitute x into the left-hand side and output the result as y1.
Substitute x into the right-hand side and output the result as y2.
Enter x. x is used for verification.
Output k5, k4, k3, k2, k1, and k0 on the right-hand side.
Substitute x into the left-hand side and output the result as y1.
Substitute x into the right-hand side and output the result as y2.
| Coefficient k5 (coefficient of the expanded expression) | (Coefficient of the x^5 term) |
| Coefficient | (Coefficient of the x^4 term) |
| Coefficient | (Coefficient of the x^3 term) |
| Coefficient | (Coefficient of the x² term) |
| Coefficient | (Coefficient of the x^1 term) |
| Coefficient | (Constant term) |
| y1 | Calculation result. No expansion. |
| y2 | Verification results. After expansion. |
R6 (2024). June 9 (Sun)_Ver. 001
Digit setting: 50 digits.
Digit count can be changed.
Complex number calculation mode.
Digit setting: 50 digits.
Digit count can be changed.
Complex number calculation mode.
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Here, we deal with cases where the expression is a fifth-degree polynomial in x.
The form of the expression is
(x+a)(x+b)(x+c)(x+d)(x+e) = k5(x^5) + k4(x^4) + k3(x^3) + k2(x^2) + k1(x^1) + k0
.
k₅, k₄, k₃, k₂, k₁, and k₀ are the coefficients of each term in the expanded expression.
We expand the left-hand side into the right-hand side.