Question

How do you factor `2a^2+22a+60`?

Answer 1

`2( a ^{ 2 }+11a\quad +30 )`

Product = 30

Sum = 11

Factors = 5,6

`2( a ^{ 2 }+11a\quad +30 ) \ \ =2[\quad { a }^{ 2 }\quad \quad +\quad 5a\quad +6a\quad +\quad 30]\ =2[a(a+6)\quad +\quad 6(a+5)]\ =2(a+6)(a+5)`

Hence factored

Answer 2

`2( a ^{ 2 }+11a\quad +30 )`

Product = 30

Sum = 11

Factors = 5,6

`2( a ^{ 2 }+11a\quad +30 ) \ \ =2[\quad { a }^{ 2 }\quad \quad +\quad 5a\quad +6a\quad +\quad 30]\ =2[a(a+6)\quad +\quad 6(a+5)]\ =2(a+6)(a+5)`

Hence factored