MCQ
The zeroes of a polynomial $x^2+ 4x + 4$ are :
  • A
    Both positive
  • Both equal
  • C
    One positive and one negative
  • D
    Both unequal

Answer

Correct option: B.
Both equal
$x^2+ 4x + 4$
$= x^2+ 2x + 2x + 4 = 0$
$= x(x + 2) + 2(x + 2) = 0$
$= (x + 2) (x + 2) = 0$
$\therefore x + 2 = 0$ or $x + 2 = 0$
$\Rightarrow x = -2$ or $x = -2$

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