Question #6454078Fill in the Blank
Algebra-1
Question
Factor the polynomial by identifying and factoring out the GCF. The factored form is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a polynomial by identifying and factoring out the greatest common factor (GCF). It aligns with the early Algebra-1 standards on factoring polynomials.
This question tests the ability to factor a polynomial by identifying and factoring out the greatest common factor (GCF). It aligns with the early Algebra-1 standards on factoring polynomials.
Key Concept Explanation
Factoring polynomials involves expressing a polynomial as a product of its factors. The GCF is the largest expression that divides evenly into each term of the polynomial. Factoring out the GCF simplifies the polynomial and can help in solving equations and analyzing functions.
Factoring polynomials involves expressing a polynomial as a product of its factors. The GCF is the largest expression that divides evenly into each term of the polynomial. Factoring out the GCF simplifies the polynomial and can help in solving equations and analyzing functions.
Step-by-step Solution
1. Identify the GCF of the terms , and .
2. The GCF of the coefficients 72, and 24 is 24. The GCF of the variable parts , and is . Therefore, the GCF of the polynomial is .
3. Factor out
1. Identify the GCF of the terms , and .
2. The GCF of the coefficients 72, and 24 is 24. The GCF of the variable parts , and is . Therefore, the GCF of the polynomial is .
3. Factor out
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