Factor the polynomial function over the complex numbers. f(x)=x4+3x2−4 enter your answer in the box. f(x) =

For this case we follow the steps below:

Step 1:

We make a change of variable, be, substituting in the original expression we have:

Step 2:

We factor the expression obtained, taking into account that:

You must find two numbers that when added together result in the number "3" and when multiplied by "-4". So, we have:

Thus,

Step 3:

We return the change of variable:

Step 4:

By defining the difference of perfect squares, we can factor one of the polynomial factors,

In this case, and

So, we have:

Step 5:

When observing the second factor of the polynomial, given by:

The complex roots of this expression are given by:

So, the roots are: and

Factoring:

Step 6:

Finally we have that the factorization of is given by:

Equivalent, in a complex way:

The factored expression is:

In a complex way, it is equivalent to:

true !

step-by-step explanation:

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61