Question

Factorise each of the following polynomials.

Answer 1

\(x^{5}+x^{3}+x\)

Answer 2

Find the GCF (Greatest common factor)

Apparently they all have a common factor of x
Therefore
X(X^4 + x^2 + 1)
Now factor by groups to get
X(x^2 - x+1) (x^2 + x + 1)
To proof the answer you could always simplify the expression above and the resulting will be same as the original expression which proves the answer is correct

Answer 3

Ugh.. Where's my answer I just posted it!!

Answer 4

X^5 + x^3 + x

GCF is x
Simplify
X(x^4 + x^2 + 1)
Factor by groups what's inside the parentheses to get
X(x^2 - x + 1) (x^2 + x + 1)
To proof the answer you could simplify the expression above and the resulting will be same as the original expression which proves the answer is correct.
If this comment got deleted again I won't do it all over again xD

Answer 5

Can u show me how u factorise \(x^{4}+x^{2}+1\) ?

Answer 6

@WillieXO