Using the given zero, find all other zeros of f(x).
-2i is a zero of f(x) = x4 - 45x2 - 196

Step-by-step explanation:

The given function is

The zeros of a function refer to those values that make .

We know by given that one zero is , that means the second zero must be , because complex solutions happen in pairs.

The 2 zeros left can be find by evaluating the function with divisors of the constant term, which are

By testing each one of these divisors, we found that numbers 7 and -7 are zeros of the function. (We always use positive and negative divisors)

Notice that the function has only pair exponents, that means positive and negative give the same result as you observed above.

Therefore, the other three zeros of the given function are: 2i, 7 and -7.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.