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Sticky Note
If one factor of the quadratic equation x^2 −3x−10=0 is (x−5), what is the other factor?
  1. (x + 2)
  2. (x - 2)
  3. (x + 5)
  4. (x - 10)
Explanation

Given:
x2−3x−10=0x^2 - 3x - 10 = 0

We are told that one factor is
(x - 5).
So, we divide the quadratic by (x - 5) to find the other factor:

Method:
Use factoring:

We want two numbers that multiply to and add to
-3.
These numbers are -5 and 2.

Thus,

x^2 - 3x - 10 = (x - 5)(x + 2)

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