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Question
The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.
x2 – 3x + 2
Solution
We have,
Area of rectangle = x2 – 3x + 2
= x2 – (2 + 1)x + 2
= x2 – 2x – x + 2
= x(x – 2) – 1(x – 2)
= (x – 2)(x – 1)
∴ The possible length and breadth are (x – 2) and (x – 1).
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