Expansion of an Expression (9th Order)
Author: shiroeExecutions: 159
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I will expand the expression. This calculation results in a ninth-degree polynomial in x after expansion.
| Coefficient of the x^9 term (before distribution) | |
| Coefficient of the x^8 term (before distribution) | |
| Coefficient of the x^7 term (before distribution) | |
| Coefficient of the x^6 term (before distribution) | |
| Coefficient of the x^5 term (before distribution) | |
| Coefficient of the x^4 term (before distribution) | |
| Coefficient of the x^3 term (before distribution) | |
| Coefficient of the x^2 term (before distribution) | |
| Coefficient of the x^1 term (before distribution) | |
| Coefficient of the x^0 term (before distribution) | (Constant term) |
| Coefficient of the x^9 term (after k-distribution) | |
| Coefficient of the x^8 term (after k-distribution) | |
| Coefficient of the x^7 term (after k-distribution) | |
| Coefficient of the x^6 term (after k-distribution) | |
| Coefficient of the x^5 term (after k-distribution) | |
| Coefficient of the x^4 term (after k-distribution) | |
| Coefficient of the x^3 term (after k-distribution) | |
| Coefficient of the x^2 term (after k-distribution) | |
| Coefficient of the x^1 term (after k-distribution) | |
| Coefficient of the x^0 term (after k-distribution) | (Constant term) |
| The value of f(x) | |
| The numerical value of k*f(x) | |
| Values of g(x) | |
| The value of k*g(x) |
Digit display setting: 6 digits. Digit count can be changed. Complex number calculation mode.
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Let the form of the expressions be
f(x) = (x + a9)(x + a8) … (x + a2)(x + a1)
g(x) = x^9 + w8x^8 + … w1x + w0
.The numbers to the right of the letters a and w are subscripts.
The subscript of w corresponds to the degree of x.
Let k be the coefficient of distribution.
k*f(x)=k*{(x+a9)(x+a8)…(x+a2)(x+a1)}
k*g(x) = k*{x^9 + w8x^8 + … + w1x + w0}
= k*x^9 + k*w8x^8 + … + k*w1x + k*w0
We also perform the distribution calculation.
x is a value used for verification.
The verification results are also output.
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Let the form of the expressions be
f(x) = (x + a9)(x + a8) … (x + a2)(x + a1)
g(x) = x^9 + w8x^8 + … w1x + w0
.The numbers to the right of the letters a and w are subscripts.
The subscript of w corresponds to the degree of x.
Let k be the coefficient of distribution.
k*f(x)=k*{(x+a9)(x+a8)…(x+a2)(x+a1)}
k*g(x) = k*{x^9 + w8x^8 + … + w1x + w0}
= k*x^9 + k*w8x^8 + … + k*w1x + k*w0
We also perform the distribution calculation.
x is a value used for verification.
The verification results are also output.
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