Factor completely: 2x2 + 10x + 12

A.

2(x + 1)(x + 6)

B.

2(x + 2)(x + 3)

C.

(x + 2)(x + 3)

D.

2(x + 2)(x + 6)

Question

Factor completely: 2x2 + 10x + 12
	
	
 
A.
	

2(x + 1)(x + 6)
	
 
B.
	

2(x + 2)(x + 3)
	
 
C.
	

(x + 2)(x + 3)
	
 
D.
	

2(x + 2)(x + 6)

muzzack · Answer

is it 2x^2 + 10x + 12

anonymous · Answer

Since it is just checking against the given answer - you can simply pick the $$x^2$$, x and the constant terms and see which one will work e.g. (C) can only give  $$x^2$$ and not  $$2x^2$$, (D) has the constant term 2.2.6 = 24 so, (A) and (B) could be the answer. If we check the coeffcient of x then (A) has 2.(1+6) = 14 whereas (B) has 2.(2+3) = 10. So, the answer is (B)