Question: Three students were asked to rewrite the expression 36 x 3 + 16 x 5 using a common factor. The rewritten expressions are shown in
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)
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