Multiple choice

Find a quadratic polynomial with $4$ and $5$ as the zeros of polynomial

  1. $x^2-9x+20$
  2. $x^2-5x+9$
  3. $x^2-4x+5$

  4. None of these
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A Correct answer
Explanation

If the zeros are 4 and 5, the polynomial is (x - 4)(x - 5) = x^2 - 9x + 20.

AI explanation

A quadratic polynomial with its zeros represented by alpha and beta takes the form x^2 minus the sum of its zeros multiplied by x plus the product of its zeros. Given the zeros 4 and 5, the sum is 4 + 5 = 9 and the product is 4 * 5 = 20. Substituting these values into the polynomial formula x^2 - (sum)x + (product) results in x^2 - 9x + 20.

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