Question

find the missing factor ( c ) that makes the equality true.
( 12x^5 = (4x^2)(c) )
( c = )
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Explanation:

Step1: Isolate \(C\) by dividing both sides by \(4x^2\)

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

Step2: Divide the constant terms

\(\frac{12}{4} = 3\)

Step3: Divide the variable terms using exponent rule \(x^a/x^b=x^{a-b}\)

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

Step4: Combine the results

\(C = 3 \times x^3\)

Answer:

\(3x^3\)