Multiple choice

The factors of quadratic polynomial $P(x) = x^2 + 4x - 5 $ are ................

  1. $(x + 5)(x - 1)$
  2. $(x + 5)(x + 1)$
  3. $(x + 1)(x - 5)$
  4. $(x - 1)(x - 5)$
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A Correct answer
Explanation

To factor x^2 + 4x - 5, find two numbers that multiply to -5 and add to 4. These are 5 and -1. Thus, (x + 5)(x - 1).

AI explanation

To factor the quadratic polynomial x^2 + 4x - 5, find two numbers that multiply to -5 and add to 4, which are 5 and -1. This allows you to write the polynomial as (x + 5)(x - 1). Verifying with FOIL gives x^2 - x + 5x - 5, which simplifies back to x^2 + 4x - 5.

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