The expression $6x^4 + 17x^2 + 5$ can be rewritten as $(3x^2 + a)(2x^…

Question

Prompt

The expression

6 x^{4} + 17 x^{2} + 5

can be rewritten as

(3 x^{2} + a) (2 x^{2} + b)

, where

a

and

b

are positive integers, or as

(3 x^{2} + c) (2 x^{2} + d)

, where

c

and

d

are positive nonintegers. What is the value of

a + c