Find all the zeros of the polynomial function p(x) x^4-4x^3 -5x^2+38x- 30

The zeros of the polynomial function are 1, -3, 3+i and 3-i.

Step-by-step explanation:

The given function is

We can find a zero of the given function by hit and trial method.

Substitute x=1 in the given function.

The value of function is 0 at x=1 it means (x-1) is a factor of given function.

Substitute x=-3 in the given function.

The value of function is 0 at x=-3 it means (x+3) is a factor of given function.

Divide the given function by , to get remaining factors.

So, the factor form of given function is

Quadratic formula: If a quadratic equation is , then

Using quadratic formula find the zeroes of .

Therefore the zeros of the polynomial function are 1, -3, 3+i and 3-i.

eve and marks ratios are equivalent

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!