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Modeling the Factored Form of a Trinomial

What side lengths should be used to model a rectangle
with an area of x2 + 3x-10 square units?
Ox-5 and x + 2
x-2 and x + 5
x and x + 3
x + 3 and x-10
A
+
+X
++2
+X
-X
1
-X
Factor 2
Product
Facto

1 Answer

7 votes

Final answer:

To model a rectangle with the given quadratic expression as the area, the side lengths should be x - 2 and x + 5.


Step-by-step explanation:

To model a rectangle with an area of x2 + 3x - 10 square units, we need to find two side lengths that, when multiplied, yield the given quadratic expression. In this case, the correct side lengths to model the rectangle are x - 2 and x + 5.


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