Answer: The correct statements are
The GCF of the coefficients is correct.
The variable c is not common to all terms, so a power of c should not have been factored out.
David applied the distributive property.
Step-by-step explanation:
GCF = Greatest common factor
1) GCF of coefficients : (80,32,48)
80 = 2 × 2 × 2 × 2 × 5
32 = 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
GCF of coefficients : (80,32,48) is 16.
2) GCF of variables :(\(b^4,b^2,b^4\))
\(b^4\)= b × b × b × b
\(b^2\) = b × b
\(b^4\) =b × b × b × b
GCF of variables :(\(b^4,b^2,b^4\)) is \(b^2\)
3) GCF of \(c^3\) and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.
4) \(80b^4-32b^2c^3+48b^4c\)
\(=16b^2(5b^2-2c^3+3b^2c)\)
David applied the distributive property.
