Question

how many maximum number of zeroes the polynomial (x+1)(x²-x-x⁴+1) can have​

Answer 1

Answer:

Degree 5

Step-by-step explanation:

Given : Polynomial (x+1)(x^2-x-x^4+1)(x+1)(x

2

−x−x

4

+1)

To find : Degree of the polynomial

Solution :

To find the degree of polynomial we solve the polynomial so, the variable with highest power is the degree of the polynomial.

(x+1)(x^2-x-x^4+1)(x+1)(x

2

−x−x

4

+1)

=x(x^2-x-x^4+1)+1(x^2-x-x^4+1)=x(x

2

−x−x

4

+1)+1(x

2

−x−x

4

+1)

=x^3-x^2-x^5+x+x^2-x-x^4+1=x

3

−x

2

−x

5

+x+x

2

−x−x

4

+1

=-x^5-x^4+x^3-x+1=−x

5

−x

4

+x

3

−x+1

The variable x highest power is 5

Therefore, The polynomial is of degree 5.

Answer 2

Answer:

the polynomial is of 5 degree .