Question

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

Answer 1

other factor will be (a+2)

Answer 2

$Given \: (a+5) \: is \:a \: factor \: of \\a^{2} + 7a + 10$

$Other \: factor \\= \frac{a^{2} + 7a + 10 }{(a+5)} \\= \frac{ a^{2} + 5a + 2a + 10}{(a+5)} \\= \frac{ a(a+5)+2(a+5)}{(a+5)}\\= \frac{(a+5)(a+2)}{(a+5)} \\= a+2$

Therefore.,

$\red { Other \: factor \: of \: the \: binomial }\\\green { = (a+2) }$

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