Factor: $4 a ^ { 2 } + 13 a + 10$
A) $( a + 2 ) ( 4 a - 5 )$
B) $( a + 2 ) ( 4 a + 5 )$
C) $( a - 2 ) ( 4 a + 5 )$
D) $( 4 a - 5 ) ( a - 2 )$
E) Nonfactorable over the integers

Question

Quizplus · Accepted Answer

We need to find two numbers whose product is 10 and whose sum is 13. The numbers are 10 and 1. Thus we can write:
$4 a ^ { 2 } + 13 a + 10 = 4 a ^ { 2 } + 10 a + 3 a + 10 = 2 a ( 2 a + 5 ) + 1 ( 3 a + 10 )$
$ = ( 2 a + 1 ) ( 2 a + 5 )$
Thus, the correct choice is B.

Factor 4a2+13a+104 a ^ { 2 } + 13 a + 104a2+13a+10

Factor $4 a ^ { 2 } + 13 a + 10$