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

Solution:

It is given that,

Binomial (a + 5) is a factor of a² + 7a + 10.

Let a² + 7a + 10

= a² + 5a + 2a + 10

Now, take out common terms,

= a(a + 5) + 2(a + 5)

= (a + 5) (a + 2)

So, the other factor is (a + 2).

Therefore, the other factor is (a + 2).

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

Summary:

The binomial (a + 5) is a factor of a² + 7a + 10. The other factor is (a + 2).