Mathematics: How many rooms can be painted using 5 gallons of paint if each room averages 5/6 gallon of paint? A. 4 B. 5 C. 6 D. 7

How many rooms can be painted using 5 gallons

claytonashley30

27.10.2021

f(x)=x^4-58x^2+1212x-10080

Step-by-step explanation:

The given polynomial has zeros:

x=8,x=-14,x=3+9i

By the complex conjugate property, x=3-9i is also a zero of the polynomial.

The polynomial can be written in factored form as:

f(x)=(x-8)(x+14)(x-(3+9i))(x-(3-9i))

We expand to get:

f(x)=(x^2+6x-112)(x^2-6x+90)

We expand further to get:

f(x)=x^4-58x^2+1212x-10080

The last choice is correct.

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