What is the factorization of the quadratic expression x² - 12x + 35?
- (x + 7)(x + 5)
- (x - 7)(x - 5)
- (x + 7)(x - 5)
- None of these
Explanation
To factorize the quadratic expression x² - 12x + 35, we need to find two numbers whose product is 35 and whose sum is -12.
The numbers are -7 and -5, since (-7) * (-5) = 35 and (-7) + (-5) = -12.
So, the factorization is:
x² - 12x + 35 = (x - 7)(x - 5)
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