Question

find the greatest common factor of the terms of the polynomial.
16d^4 + 16d^3 - 4
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Analyze coefficients

Find GCF of 16, 16, -4. Factors of 16: 1,2,4,8,16; factors of 4:1,2,4. GCF is 4.

Step2: Analyze variable terms

For \(d^4\), \(d^3\), and constant term (no \(d\)), the lowest power of \(d\) is \(d^0 = 1\) (since constant term has no \(d\)).

Step3: Combine GCF

The GCF of the terms \(16d^4\), \(16d^3\), and \(-4\) is 4 (since variable part GCF is 1, as one term has no variable).

Answer:

4