What is the factored form of the expression below? 6x^2 + 17x + 5

a (3x + 1)(2x + 5)
b (6x + 1)(3x + 5)
c The expression cannot be factored over the integers.
d (3x + 5)(2x + 1)

The correct choice is option a. (3x + 1)(2x + 5)

Step-by-step explanation:

6x^2 + 17x + 5

= 6x^2 + 15x + 2x + 5

= 3x(2x + 5) + 2x + 5

= (3x + 1)(2x + 5)

a. (3x+1)(2x+5)

Step-by-step explanation:

6x^2 + 17x + 5

6 = 3x times 2x and 5 = 1 times 5

(3x + 1) (2x + 5)

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional