If one factor of the quadratic equation x^2 −3x−10=0 is (x−5), what is the other factor?
Answer: (x + 2)
Explanation
Given:
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 −10 and add to −3.
These numbers are -5 and 2.
Thus,
x^2−3x−10=(x−5)(x+2)
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