Question
What will be the greatest common divisor (GCD) of (x²
- 12x + 35) and (x² - 9x + 14).Solution
(x² - 12x + 35) = x² - 7x - 5x + 35 = x(x - 7) - 5(x - 7) = (x - 7)(x - 5) x² - 9x + 14 = x² - 7x - 2x + 14 = x(x - 7) - 2(x - 7) = (x - 7)(x - 2) So, required GCD = (x - 7) Hence, option d.
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