What is the constant term in the polynomial expression -7x2 + 32x + 240, and what does it represent? What's the factored form of that expression and what do the factors represent?

Given:

The polynomial expression .

To find:

The constant term in the polynomial expression and factored form.

Solution:

We have

Here, 240 is free from variable x. So, it is the constant term.

It represents the initial value of the expression, where x=0.

Using splitting the middle term, we get

Therefore, the factored form is .

It represents the two expressions, whose product is the given expression.

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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