Question

x + 1 has no real zeroes. Why?
2. Can you tell the number of zeroes of a polynomial of degree?​

Answer 1

Answer:

A polynomial of n degree can have n zeros. ... ax³ + bx² + cx + d = 0, a cubic equation can have 3 zeros, as the highest power of x is 3 or as the degree is 3.

Answer 2

Answer:

Some polynomials with real coefficients, like x2+1, have no real zeros. As it turns out, every polynomial with a complex coefficient has a complex zero. Every polynomial of odd degree with real coefficients has a real zero.

The Fundamental Theorem

The fundamental theorem of algebra says that every non-constant polynomial in a single variable z, so any polynomial of the form

cnxn+cn−1xn−1+…c0