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Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
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Q. Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
- Identify Factors and Powers: We need to find the greatest common factor (GCF) of the terms and . To do this, we will list the factors of the coefficients and the powers of .Factors of : Factors of : Powers of in : Powers of in : The common factors of the coefficients are and . The common powers of are just , since that is the lowest power of present in both terms.
- Determine Greatest Common Factor: The greatest common factor of the coefficients and is . The greatest common factor of the powers of is . Therefore, the GCF of the entire polynomial is .
- Divide by GCF: Now we will divide each term of the polynomial by the GCF to factor it out.
- Write Factored Polynomial: We can now write the original polynomial as the product of the GCF and the factored terms.
