Multiple choice

Find the roots of quadratic equation using factorization: $\displaystyle { y }^{ 2 }-2y-8=0$

  1. $-2, 4$
  2. $-4, 2$
  3. $2, 4$

  4. None
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A Correct answer
Explanation

y^2 - 2y - 8 = 0. (y-4)(y+2) = 0. Roots are y = 4 and y = -2.

AI explanation

To factorize y^2 - 2y - 8 = 0, we need two numbers that multiply to -8 and add to -2, which are -4 and 2. This gives the factors (y - 4)(y + 2) = 0. Setting each factor to zero yields y = 4 and y = -2.

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