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One of the factors of x2−25 is (x−5). What is the other factor?

User Almond
by
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1 Answer

5 votes

Answer: (x+5)

Explanation:

The only other possible factor is (x+5). We can test it out to see if it multiplies out to x²-25.

(x+5)(x-5) [FOIL]

x²-5x+5x-25 [combine like terms]

x²+0x-25

x²-25

Therefore, we know that (x+5) is the correct other factor.