How much larger than the sum of −1, −2, and 5 is the sum of the squares of these same integers?
A. 18
B. 20
C. 22
D. 28
E. 32
Answer (2)
D. 28
Sum: (-1)+(-2)+(5)= 2
Sum of squares: (-1)^2 =1 (-2)^2=4 (5)^2=25
25+4+1=30
30-2= 28
The sum of the integers − 1 , − 2 , and 5 is 2 . The sum of the squares of these integers is 30 . Therefore, the sum of the squares is 28 units larger than the sum of the integers, corresponding to option D.
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