Multiple choice

Which of the following option is the standard form of the mentioned quadratic equation? $p(p\, -\, 6)\, =\, 0$

  1. $p^{2}\, -\, 6p\, =\, 0$
  2. $p^{2}\, -\, 6 =\, 0$
  3. $p^{2}\, +\, 6p =\, 0$

  4. None of these
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A Correct answer
Explanation

The standard form of a quadratic equation is ax^2 + bx + c = 0. Expanding p(p - 6) = 0 gives p^2 - 6p = 0.

AI explanation

To convert the equation into standard form, apply the distributive property of multiplication over addition. Expanding p(p - 6) gives p times p minus p times 6, which equals p^2 - 6p. Therefore, the standard form of the quadratic equation is p^2 - 6p = 0.

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