A quadratic equation has roots 3 and -2. What is the quadratic equation in standard form?

A. x² - x - 6 = 0

B. x² + x - 6 = 0

C. x² - x + 6 = 0

D. x² + x + 6 = 0

E. None of the above

Answer: A. x² - x - 6 = 0

If the roots are r1 and r2, the quadratic equation can be expressed as (x - r1)(x - r2) = 0. Thus, (x - 3)(x + 2) = 0 expands to x² - x - 6 = 0.

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