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The equation 
= -8x - 3
for all values of x ≠ 2/α, where α is a constant.What is the value of α?
= -8x - 3for all values of x ≠ 2/α, where α is a constant.What is the value of α?- a)−16
- b)−3
- c)3
- d)16
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The equation = -8x - 3for all values of x ≠ 2/α, where &alpha...
Choice B is correct. Since 24x2 + 25x − 47 divided by αx − 2 is equal to −8x −3 with remainder −53, it is true that (−8x − 3)(αx − 2) − 53 = 24x2 + 25x − 47. (This can be seen by multiplying each side of the given equation by αx − 2). This can be rewritten as −8αx2 + 16x − 3αx = 24x2 + 25x − 47. Since the coefficients of the x2-term have to be equal on both sides of the equation, −8α = 24, or α = −3. Choices A, C, and D are incorrect and may be the result of either a conceptual misunderstanding or a computational error when trying to solve for the value of α.
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The equation = -8x - 3for all values of x ≠ 2/α, where α is a constant.What is the value of α?a)−16b)−3c)3d)16Correct answer is option 'B'. Can you explain this answer?
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