Three students were asked to rewrite the expression 36x3+ 16x5 using a common factor. The rewritten expressions are shown in the table.


Student A Student B Student C
4x3(9 + 4x2) 3x2(12x + 2x3) 2x(18x2 + 8x4)


Part A: Did Student A rewrite the expression correctly using a common factor? Explain. (3 points)

Part B: Did Student B rewrite the expression correctly using a common factor? Explain. (3 points)

Part C: Did Student C rewrite the expression correctly using a common factor? Explain. (3 points)

Part D: Rewrite the expression using a different common factor than what is shown in the table. Choose a common factor that includes a coefficient other than 1 and a variable. Show every step of your work. (3 points)