Algebra 2

Factor the polynomial
x*x*x-343

Find the real number solution of the equation

x^3 = 343 -->

x = 7

Put:

[x^3 - 343]/[x-7] = A x^2 + Bx + C -->

x^3 - 343 = [A x^2 + Bx + C]*[x-7]--->

x^3 - 343 = A x^3 +(B-7A)x^2+(C-7B)x-7C

A = 1

B = 7

C = 49

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