Student A rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.
Student B did not rewrite the expression correctly. When the factor is multiplied by the quotient, it does not yield the dividend.
Student C rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.
The expression when it is rewritten is 4x²(9x + 4x³)
What is a common factor?
The factor of a number is a number that perfectly divides a number. A common factor is a factor that two or more numbers share. An example of a common factor of 10 and 20 is 10.
In order to determine if the students rewrote the expressions correctly, use the distributive property to determine if it would yield the initial expression. If it does, the students are correct.
Student A = 4x³(9 + 4x²) = 36x³ + 16[tex]x^{5}[/tex]
Student B = 3x²(12x + 2x³) = 36x³ + 6[tex]x^{5}[/tex]
Student C = 2x(18x² + 8[tex]x^{4}[/tex]) = 36x³ + 16[tex]x^{5}[/tex]
To learn more about factors, please check: https://brainly.com/question/11221202
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