Chapter 3 Word Problem

Kirkland 4th Charles Turner

The area in square feet of a rectangular field is x^2-120x+1100. The width, in feet, is x-10. What is the length, in feet?

Notice the area of the trinomial x^2-120x+1100 is of the form ax^2+bx+c, a=1.
Find the factors of 1100, which have a sum of -120. These are -10 and -110.
Now factor the trinomial. Remember one of the factors of the trinomial is x-10.
The length of the rectangular field, in feet, is x

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