Multiple choice

The quadratic polynomial whose zeroes are -3, 5 is given by

  1. $\displaystyle x^{2}-3x-15$
  2. $\displaystyle x^{2}-2x-7$
  3. $\displaystyle x^{2}-2x-15$
  4. $\displaystyle x^{2}-2x+15$
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C Correct answer
Explanation

If zeroes are a and b, the polynomial is x^2 - (a+b)x + ab. Here a=-3, b=5. Sum = 2, Product = -15. Polynomial = x^2 - 2x - 15.

AI explanation

If the zeros of a quadratic polynomial are given as a and b, the polynomial can be written as x^2 - (a + b)x + ab. Substituting the zeros -3 and 5 into this formula gives x^2 - (-3 + 5)x + (-3)(5). Simplifying the terms results in x^2 - 2x - 15.

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