The quadratic equation whose roots are 3 and \(-5\) is
A. \(x^2 - 2x - 15 = 0\)
B. \(x^2 + 2x - 15 = 0\)
C. \(x^2 + 2x + 15 = 0\)
D. \(x^2 - 8x + 15 = 0\)
A. \(x^2 - 2x - 15 = 0\)
B. \(x^2 + 2x - 15 = 0\)
C. \(x^2 + 2x + 15 = 0\)
D. \(x^2 - 8x + 15 = 0\)
Best answer
Answer: B. \(x^2 + 2x - 15 = 0\)
Sum \(= 3 + (-5) = -2\), product \(= -15\). The equation is \(x^2 - (\text{sum})x + \text{product} = 0\), i.e. \(x^2 + 2x - 15 = 0\).
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