Question

Factorise x^4+x^3+1​

Answer 1

Hey,
The polynomial is x^4+x^3+1
Let's find its discriminant (D)= b^2-4ac
So here, b=1, a=1, c=1
Putting the values in b^2-4ac
We get D= 1-4=-3
Now D = negative
Therefore, no real roots exist for this polynomial!