Question

Fourth degree and a single zero of -3

Answer 1

The degree of a polynomial is the highest power of the polynomial.

The polynomial is $\mathbf{P(x) = (x + 3)^4}$

The degree is given as:

$\mathbf{n = 4}$

The zero is given as:

$\mathbf{x = -3}$

Add 3 to both sides

$\mathbf{x + 3= 0}$

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

$\mathbf{P(x) = (x + 3)^n}$

Substitute 4 for n

$\mathbf{P(x) = (x + 3)^4}$

Hence, the polynomial is $\mathbf{P(x) = (x + 3)^4}$

Read more about polynomials at:

brainly.com/question/11536910