The area of rectangle is x² - 5x + 6, its length and width will be ______?
- (x - 3)(x - 2)
- (x + 3)(x - 2)
- (x - 3)(x + 2)
- None of these
Explanation
Given the area of the rectangle:
x² - 5x + 6
Let's factorize the quadratic expression:
x² - 5x + 6 = x² - 3x - 2x + 6
= x(x - 3) - 2(x - 3)
= (x - 3)(x - 2)
Related MCQs
- 2x² + 4 = 9x
- 2x² + 9 = 4x
- 2x² + 9 = 4x
- x² + 4 = 9x
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