Final answer:
To determine if 4 is a factor of 10u + 34v, check if the expression can be divided evenly by 4 by factoring out the common factor of 2.
Step-by-step explanation:
To determine if 4 is a factor of the expression 10u + 34v, we need to see if the expression can be written as a product of 4 and another integer or algebraic expression. Factoring out the common factor, we seek an integer that when multiplied by 4 gives us both coefficients in the expression (10 and 34). Since 10 and 34 do not share 4 as a common factor (the greatest common divisor of 10 and 34 is 2), we cannot express 10u + 34v as a multiple of 4. Therefore, 4 is not a factor of 10u + 34v.