The zeroes of the quadratic polynomial x2 + 90x + 126 are :

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  1. both positive
  2. both negative 
  3. one positive and one negative 
  4. both equal

Answer (Detailed Solution Below)

Option 2 : both negative 
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Detailed Solution

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Given:

Quadratic expression: x2 + 90x + 126

Formula used:

Sum of roots = -b / a

Product of roots = c / a

Calculation:

a = 1, b = 90, c = 126

Sum = -90 / 1 = -90

Product = 126 / 1 = 126

Sum is negative ⇒ both roots are negative

Product is positive ⇒ both roots have same sign

∴ The correct answer is option (2): both negative.

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