Question

state true/false..... polynoial x^3 + 1 has only one real zero..... with explanations​

Answer 1

The statement is true

The polynomial x³+1=(x+1)(x²-x+1) has zeroes at x+1=0 or x²-x+1=0.

The first solution is x=-1.

The last polynomial has two imaginary solutions.

Therefore, there is a real zero.