Question

Please help me with this problem!!

Answer 1

Hello!

$\large\boxed{C = 3x^{3}}$

To find C, we can isolate for the "C" factor:

$12x^{5} = (4x^{2})(C)$

Divide both sides by 4x² to isolate:

$\frac{12x^{5}}{4x^{2}} = C$

Simplify the coefficients: (12 ÷ 4 = 3)

$\frac{3x^{5}}{x^{2}} = C$

Divide exponents using the following rule:

$\frac{x^{a}}{x^{b}} = x^{(a-b)}$

Plug in the given numbers:

$\frac{3x^{5}}{x^{2}} = 3x^{(5 - 2)} = 3x^{3}$