x4 – ax3 + a2 x2 – 25a4 / x + 2a, a=

x4 - ax3 + a2x2 - 25a4 divide by x = 2a R 243. What is a?
in order of operations by

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1 Answer

If you mean x4-ax3+a2x2-25a4

Applying synthetic division:

-2a | 1   -a   a2       0   -25a4

        1 -2a 6a2 -14a3 | 28a4

        1 -3a 7a2 -14a3 |   3a4=243 (remainder),

a4=81, a4-81=0=(a2-9)(a2+9)=(a-3)(a+3)(a2+9).

Therefore a=±3.

The polynomial is x4-3x3+9x2-2025 or x4+3x3+9x2-2025.

by Top Rated User (1.2m points)

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