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If [x-4, 2x, 2x; 2x, x-4, 2x; 2x, 2x, x-4] = (A+Bx)(x-A)², then the ordered pair (A, B) is equal to:
- (-4, -5)
- (-4, 3)
- (-4, 5)
- (4, 5)
Correct answer: (-4, 5)
Solution
The determinant simplifies to a polynomial in terms of x, and by comparing coefficients with the given form, we find that A must be -4 and B must be 5 to satisfy the equation.
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