The factors are: x-5 and x+3
Step-by-step explanation:
Given
[tex]x^2-2x-15 = 0[/tex]
Simplifying
[tex]x^2-5x+3x-15 = 0\\x(x-5) + 3(x-5) = 0\\(x+3)(x-5) = 0[/tex]
Let us define the zero product property first
The zero product property states that
if ab=0 then either a=0 or b=0
So,
[tex]x+3 = 0\\x+3-3 = 0-3\\x = -3\\AND\\x-5 = 0\\x-5+5 = 0+5\\x = 5[/tex]
Hence,
the factors are: x-5 and x+3
Keywords: Factorization, Zero product property
Learn more about factorization at:
- brainly.com/question/10978510
- brainly.com/question/11007026
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