For a certain quadratic equation, ax2 + bx + c = 0, the 2 solutions are x = ¾ and x =-⅖ . Which of the following could be factors of ax2 + bx + c?
Correct answer: A. (4x-3) AND (5x+2)
- A. (4x-3) AND (5x+2)
- B. (4x2) AND (5x+3)
- C. (4x+2) AND (5x-3)
- D. (4x+3) AND (5x-2)
- E. (4x+3) AND (5x+2)
Explanation
For a certain quadratic equation ax2 + bx + c = 0, if x = a/b is a solution, then a possible factor would be (bx − a). Since two solutions for ax2 + bx + c = 0 are x = 3/4 and x = -2/5, then possible factors are (4x − 3) and (5x + 2).
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