What is the least possible degree of a polynomial that has roots -5, 1 + 4i, and -4i?

2,3,4, or 5

Least possible degree of polynomial = 5

Step-by-step explanation:

Here we have solutions -5, 1 + 4i, and -4i.

The solutions are 1 real and 2 imaginary.

Real solutions may or may not be with pair.

We know that complex solutions comes with two solutions a + ib and a - ib

So the all solutions of the polynomial are

  -5 , 1+4i, 1-4i, -4i, and 4i

So minimum 5 solutions are there for this polynomial.

Polynomial with 5 solutions are of degree 5.

Least possible degree of polynomial = 5

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35

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