MUTIPLE-CHOLCE QUETION What is the OCF of this trinomial? \[ 12 x^{4}-16 x^{5}+24 x^{3} \] \( 4 x^{4} \) \( 4 x^{5} \) \( x^{1} \) \( 4 x^{3} \) \( 8 x^{3} \) Rewateh

To find the OCF (or the greatest common factor) of the trinomial \( 12 x^{4}-16 x^{5}+24 x^{3} \), we need to identify the highest common factor in both the coefficients and the variable terms. The coefficients are 12, -16, and 24, which have a GCF of 4. The variable part, \( x^{3} \), is the lowest power of \( x \) present in all terms. Therefore, the overall GCF, or OCF, is \( 4 x^{3} \). So the correct answer is \( 4 x^{3} \). Happy factoring! In cases like this, it's often helpful to remember that you can always factor out the GCF first before simplifying the rest. This not only makes your algebraic expressions neater but can also help you solve more complex equations efficiently. Keep practicing, and soon factoring will be second nature! Make sure you're also aware of the common mistakes when factoring polynomials—like forgetting to include the lowest power of each variable—so you don’t miss out on easy points! Each variable should be factored down to its lowest common exponent found in the entirety of the problem!