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keisanHigh-precision calculations for everyday life and work

Expansion of an Expression (7th Order)

Author: shiroeExecutions: 40

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Calculate the expansion of the expression. The result is a seventh-degree polynomial.
The form of the expression is: the left-hand side is
k(x+a1)(x+a2)(x+a3)(x+a4)(x+a5)(x+a6)(x+a7)
and the right-hand side is unfactored:
k(p7x^7 + p6x^6 + … + p1x^1 + p0x^0)
After factoring out k,
kp7x^7 + kp6x^6 + … + kp1x^1 + kp0x^0
. Expand the left-hand side into the right-hand side.
k
  (Coefficients to be distributed)
a1
a2
a3
a4
a5
a6
a7
x
  (Numbers for verification)
p7   (Coefficient of the x^7 term)
p6   (Coefficient of the x^6 term)
p5   (Coefficient of the x^5 term)
p4   (coefficient of the x^4 term)
p3   (coefficient of the x³ term)
p2   (coefficient of the x² term)
p1   (Coefficient of the x^1 term)
p0   (Coefficient of the x^0 term)
q7   (After distribution) (Coefficient of the x^7 term)
q6   (After distribution) (Coefficient of the x⁶ term)
q5   (After distribution) (Coefficient of the x^5 term)
q4   (After distribution) (Coefficient of the x^4 term)
q3   (After distribution) (Coefficient of the x^3 term)
q2   (After distribution) (Coefficient of the x^2 term)
q1   (After distribution) (Coefficient of the x^1 term)
q0   (After distribution) (Coefficient of the x^0 term)
Check (1) Value of the expression   (integral part)
Check (2) Value of the Expression   (the value multiplied by k)
Check (3) Value of the Expression   (k: the operand)
Check (4) Value of the Expression   (Value after k-distribution)
The numbers to the right of the letters a, p, and q are subscripts. They correspond to the powers of x.

x^1 = x, and kx^1 = kx. Also,
x^0 = 1, so p0x^0 and kp0x^0 are constant terms.

Digit display setting: 6 digits. The number of digits can be changed.

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