The degree of a polynomial is the highest power of the polynomial.
The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
The degree is given as:
[tex]\mathbf{n = 4}[/tex]
The zero is given as:
[tex]\mathbf{x = -3}[/tex]
Add 3 to both sides
[tex]\mathbf{x + 3= 0}[/tex]
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
[tex]\mathbf{P(x) = (x + 3)^n}[/tex]
Substitute 4 for n
[tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
