Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. g(x)=x3−x2−20x; x+4
g(x)=

g(x) = x(x - 5)(x + 4)

Step-by-step explanation:

Here the binomial is x + 4, indicating that a root is -4.  Note that x is common to all terms of g(x)=x3−x2−20x, so we can immediately write g(x) in partially factored form as

g(x) = x(x^2 - x - 20).  Since -20 = -5*4,

g(x) = x(x - 5)(x + 4)

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.'

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