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

(a+2)
(a+5)
(a−2)
(a−5)

The other factor is (a + 2)

Solution:

Given that (a + 5) is a factor of

To find: the other factor

Let "x" be the other factor

So both the factors "x" and (a + 5) when multiplied must give

Therefore, we can say,

Let us factor the numerator

7a in numerator can be written as 2a + 5a

Take "a" as common from first two terms in numerator and "5" as common from last two terms in denominator

Take (a + 2) as common from numerator

Cancel the common factors in numerator and denominator

Thus the other factor is (a + 2)

c

step-by-step explanation: