The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor?

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Adelaide Patton

Mathematics

10 December, 16:09

The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor?

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Zechariah Perez · Answer 1

The answer is (a+2). Let's find factors of a^2 + 7a + 10. a^2 + 7a + 10 = a^2 + 5a + 2a + 10 = a * a + 5 * a + 2 * a + 2 * 5 = (a * a + 5 * a) + (2 * a + 2 * 5) = a * (a + 5) + 2 * (a + 5) = (a + 5) * (a + 2) = (a + 5) (a + 2). Therefore, a^2 + 7a + 10 = (a + 5) (a + 2).