Multiple choice

Find a quadratic polynomial, the sum and product of whose zeroes are respectively : $-11 \ and \ 10$

  1. $x^2+x+5$
  2. $x^2+11x+10$
  3. $x^2+x-5$
  4. $x^3+11x+10$
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B Correct answer
Explanation

A quadratic polynomial with sum of zeroes S and product P is given by x^2 - Sx + P. Here, S = -11 and P = 10, so the polynomial is x^2 - (-11)x + 10 = x^2 + 11x + 10.

AI explanation

Using the polynomial formation identity, if the sum of the zeroes is S and the product is P, the quadratic polynomial is x^2 - (S)x + (P). Substituting S = -11 and P = 10 gives x^2 - (-11)x + 10. This simplifies to x^2 + 11x + 10.

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