(Factoring Algebraic Expressions HC)

Three students were asked to rewrite the expression 16x3 + 24x5 using a common factor. The rewritten expressions are shown in the table.


Student A Student B Student C
3x3(6 + 8x2) 4x2(4x + 6x3) 8x3(2 + 3x2)


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)