What is the complete factorization of the polynomial function over the set of complex numbers? f(x)=x3−5x2+4x−20 enter your answer in the box.

f(x)=(x-2)(x+2)(x-5)

Step-by-step explanation:

f(x)=x³-5x²+4x-20                 1. Just group randomly

f(x)=x²(x-5)+4(x-5)                2. Factor the groupings

f(x)=(x²+4)(x-5)                      

f(x)=(x-2)(x+2)(x-5)                3. Factor the difference of two squares

 is the required factorization of f(x).

Step-by-step explanation:

To factor the expression we must first group the terms and then take out common from these groups

Taking common from first group and the 4 from second group we get:

Now, to factor in complex from we have to break term

As,

Also using identity

On solving

 is the required factorization of f(x).

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

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step-by-step explanation:

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