Question

prove the degree of the polynomial (x +1)(x2 -x+x^4+1)​

Answer 1

Answer:

Degree of the polynomial =5

Explanation:

(x+1)(x²-x+x⁴+1)

Degree of the polynomial

= Highest power of x in the

polynomial

=5

[ Since , x * x⁴ = x^5 ]

••••

Answer 2

(x+1) (2x-x+x⁴+1)
x(2x-x+x⁴+1)+1(2x-x+x⁴+1)
2x²-x²+x^5+x+2x-x+x⁴+1
x²+x^5+2x+x⁴+1 is the polynomial
Degree is the highest power of polynomial.
So degree is 5