Factor the expression. $x ^ { 2 } + 8 x + 15$
A)
$( x + 3 ) ( x + 5 )$
B)
$( x - 3 ) ( x + 5 )$
C)
$( x - 3 ) ( x - 5 )$
D)
$( x + 3 ) ( x - 5 )$
E)
$( - x - 3 ) ( x - 5 )$

Question

Factor the expression. $x ^ { 2 } + 8 x + 15$ 
A)
 $( x + 3 ) ( x + 5 )$ 
B)
 $( x - 3 ) ( x + 5 )$ 
C)
 $( x - 3 ) ( x - 5 )$ 
D)
 $( x + 3 ) ( x - 5 )$ 
E)
 $( - x - 3 ) ( x - 5 )$

Quizplus · Accepted Answer

The correct factoring of $x^2 + 8x + 15$ is $(x + 3)(x + 5)$ because when multiplied, these factors give the original quadratic expression. The factors of 15 that add up to 8 are 3 and 5, hence the correct answer is $(x + 3)(x + 5)$.

Factor the Expression x2+8x+15x ^ { 2 } + 8 x + 15x2+8x+15

Factor the Expression $x ^ { 2 } + 8 x + 15$