Expand the expression. Product of two polynomials (up to the 5th degree)
Author: shiroeExecutions: 170
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Let the coefficients of the terms in f(x) be a5, a4, a3, a2, a1, and a0.
Let the coefficients of the terms in g(x) be b5, b4, b3, b2, b1, and b0.
Let the expanded expression be h(x).
h(x) = f(x)g(x).
Let the coefficients of each term in h(x) be k5, k4, k3, k2, k1, and k0.
The numbers to the right of the letters a, b, and k correspond to the degree n of the x^n term.
To verify the calculation, we will substitute a specific value for x.
We will substitute this value into f(x), g(x), and h(x), and calculate h(x) = f(x)g(x) to confirm the result.
Let the coefficients of the terms in g(x) be b5, b4, b3, b2, b1, and b0.
Let the expanded expression be h(x).
h(x) = f(x)g(x).
Let the coefficients of each term in h(x) be k5, k4, k3, k2, k1, and k0.
The numbers to the right of the letters a, b, and k correspond to the degree n of the x^n term.
To verify the calculation, we will substitute a specific value for x.
We will substitute this value into f(x), g(x), and h(x), and calculate h(x) = f(x)g(x) to confirm the result.
| k10 | |
| k9 | |
| k8 | |
| k7 | |
| k6 | |
| k5 | |
| k4 | |
| k3 | |
| k2 | |
| k1 | |
| k0 (constant term) | |
| f(x) | (Check the calculation) |
| g(x) | (Check the calculation) |
| f(x)g(x) | (Check the calculation) |
| h(x) | (Check the calculation) |
| flug | (Check) (Displays 0 if h(x) = f(x)g(x), and 1 otherwise) |
Digit display setting: 10 digits. Digit count can be changed. Complex number calculation mode.
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Here, we will expand the product of two polynomials.
Let the two polynomials be f(x) and g(x).
There is only one variable, x, and both polynomials are of degree 5 or less.