Step 1: Look at the polynomial 3x^2 + 12x and identify the common factors in both terms.
Step 2: Notice that both terms (3x^2 and 12x) have a common factor of 3x.
Step 3: Factor out the common term 3x from both terms.
Step 4: Write the polynomial as 3x multiplied by what is left after factoring out 3x.
Step 5: The remaining part after factoring out 3x is (x + 4).
Step 6: Combine the factored term and the remaining part to get the final factored form: 3x(x + 4).
Factoring Polynomials – The process of breaking down a polynomial into simpler components (factors) that, when multiplied together, give the original polynomial.
Common Factor Extraction – Identifying and extracting the greatest common factor from the terms of a polynomial.
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