Three students were asked to rewrite the expression 28x3 + 20x5 using a common factor. The rewritten expressions are shown in the table.
Student A Student B Student C
4x2(7x+ 5x3) 2x3(14 + 10x2) 10x3(3 + 2x2)
Part A: Did Student A rewrite the expression correctly using a common factor? Explain.
Part B: Did Student B rewrite the expression correctly using a common factor? Explain.
Part C: Did Student C rewrite the expression correctly using a common factor? Explain.
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.