Answer:

c. [tex]6x^{2} (4 + 5x - 7x^{2})[/tex]

Step-by-step explanation:

> [tex]24x^{3} + 30x^{4} - 42x^{5}[/tex]

> [tex]\frac{24x^{3} + 30x^{4} - 42x^{5}}{6}[/tex]        find the greatest common factor (gcf) of the coefficients

> [tex]4x^{3} + 5x^{4} - 7x^{5}[/tex]

Final Answer:

> [tex]6x^{3} (4x + 5x - 7x^{2})[/tex]  when it comes to multiplying the exponents with the same variable, we just need to add the exponents to each other