Multiple choice

Quadratic polynomial having zeros $1$ and $-2$ is

  1. $x^2-x+2$
  2. $x^2-x-2$
  3. $x^2+x-2$

  4. none of these
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C Correct answer
Explanation

A quadratic polynomial with zeros 1 and -2 is k(x - 1)(x + 2) = k(x^2 + x - 2). For k=1, this is x^2 + x - 2.

AI explanation

A quadratic polynomial with given zeros alpha and beta is expressed as x^2 - (alpha + beta)x + alpha*beta. Substituting the zeros 1 and -2 gives x^2 - (1 - 2)x + (1)*(-2). Simplifying this expression results in the polynomial x^2 + x - 2.

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