Name: SAT Math Help & School Math Mastery
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#34709

expressions

functions

hard

90 sec

Functions $f$ and $g$ are defined by $f (x) = (x + a) (x + b)$ and $g (x) = x + c$ , where $a, b,$ and $c$ are distinct positive integers. If $f (x) \cdot g (x) = x^{3} + 6 x^{2} + 11 x + 6$ , what is the value of $a + b + c$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.