The area of a garden is x³ - 7x² + kx - 8, and the length is x - 2. The value of k will be ______?
- 12
- 13
- 14
- None of these
Explanation
Area = x³ - 7x² + kx - 8
Length = x - 2
Width = Area / Length
(x-2) is a factor, so remainder = 0 when x = 2
=> 2³ - 7(2)² + k(2) - 8 = 0
=> 8 - 28 + 2k - 8 = 0
=> 2k = 28
=> k = 14
Last verified on 10-02-2026
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