Multiple choice

If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $p(x) = ax^2 + bx + c, (a \neq 0)$ then _________ $= \dfrac{c}{a}$

  1. $\alpha + \beta$
  2. $\alpha - \beta$
  3. $\alpha . \beta$
  4. $\dfrac{\alpha}{\beta}$
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C Correct answer
Explanation

For a quadratic polynomial ax^2 + bx + c, the product of the zeroes alpha * beta is equal to c/a.

AI explanation

For any quadratic polynomial ax^2 + bx + c, the product of its zeroes is given by the formula constant term divided by leading coefficient, which equals c/a. Therefore, multiplying alpha by beta gives alpha . beta = c/a.

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