Multiple choice

The quadratic polynomial whose product and sum of the zeroes are $1$ and $-12,$ respectively is :

  1. $x^{2}-x-12$
  2. $x^{2}-12x-1$
  3. $x^{2}+x-12$
  4. $x^{2}+12x+1$
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AI explanation

The standard form of a quadratic polynomial when the sum and product of its zeroes are known is given by x^2 - (sum of zeroes)x + (product of zeroes). Plugging in the given values, the sum is -12 and the product is 1. Substituting these into the formula results in x^2 - (-12)x + 1. This simplifies to the polynomial x^2 + 12x + 1.

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