Hello!
[tex]\large\boxed{C = 3x^{3}}[/tex]
To find C, we can isolate for the "C" factor:
[tex]12x^{5} = (4x^{2})(C)[/tex]
Divide both sides by 4x² to isolate:
[tex]\frac{12x^{5}}{4x^{2}} = C[/tex]
Simplify the coefficients: (12 ÷ 4 = 3)
[tex]\frac{3x^{5}}{x^{2}} = C[/tex]
Divide exponents using the following rule:
[tex]\frac{x^{a}}{x^{b}} = x^{(a-b)}[/tex]
Plug in the given numbers:
[tex]\frac{3x^{5}}{x^{2}} = 3x^{(5 - 2)} = 3x^{3}[/tex]
