Question

Determine la descomposición de los factores de la expresión algebraica:

x^4+ax^3+8x+8a

Answer 1

`(x + a)(x + 2)(x^(2) -2x + 4)`

Explanation:

From the first two terms
`x^(3)` can be take as common.

Then in the second line
`(x + a)` gets common from the both terms.

Then it has just break according to the formula of
`a^(3) + b^(3)`

`x^(4) + ax^(3) + 8x + 8a = (x + a)x^(3) + 8(x + a) = (x + a)(x^(3) + 8) = (x + a)(x^(3) + 2^(3) ) = (x + a)(x + 2)(x^(2) -2x + 4)`