Question

write maximum number of zeroes for p(x)= x^3+3x^2 -3x+1

Answer 1

there will be 3 zeroes for the equation

Answer 2

Answer:

Given polynomial will have maximum 3 zeroes.

Step-by-step explanation:

We have the polynomial, $p(x)= x^3+3x^2 -3x+1$.

The maximum number of zeroes of the polynomial are required to find.

That is, we need to find the roots of the equation, $p(x)=0$.

We know that,

Fundamental Theorem of Algebra states that 'An 'n' degree polynomial will have 'n' number of roots'.

Since, the degree of  $p(x)= x^3+3x^2 -3x+1$ is 3.

Thus, the equation $p(x)=0$ will have 3 roots.

Hence, the given polynomial will have maximum 3 zeroes.