Question

Determine la descomposición de los factores de la expresión algebraica: x^4+ax^3+8x+8a

Answer 1

Answer:

$(x + a)(x + 2)(x^{2} -2x + 4)$

Step-by-step 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 $a^{3} + b^{3}$

$x^{4} + ax^{3} + 8x + 8a = (x + a)x^{3} + 8(x + a) = (x + a)(x^{3} + 8) = (x + a)(x^{3} + 2^{3} ) = (x + a)(x + 2)(x^{2} -2x + 4)$