Factor the expression 2x^9+4x^52x

 Exercise

$2x^9+4x^5+2x$

 

Factor the polynomial $2x^9+4x^5+2x$ by it's greatest common factor (GCF): $2x$

$2x\left(x^{8}+2x^{4}+1\right)$

 

The trinomial $\left(x^{8}+2x^{4}+1\right)$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$

 

Using the perfect square trinomial formula

$a^2+2ab+b^2=(a+b)^2,\:where\:a=\sqrt{x^{8}}\:and\:b=\sqrt{1}$

 

Factoring the perfect square trinomial

$2x\left(x^{4}+1\right)^{2}$

$2x\left(x^{4}+1\right)^{2}$

 Try other ways to solve this exercise

Can't find a method? Tell us so we can add it.