Question

factor out the greatest common factor. \\(28x^2 - 14x - 21\\) \\(?(4x^2 - 2x - 3)\\)

Explanation:

Step1: Find GCF of coefficients

The coefficients are 28, -14, -21. Prime factors:
28 = 2×2×7,
-14 = -1×2×7,
-21 = -1×3×7.
GCF is 7.

Step2: Factor out GCF

Divide each term by 7:
\( \frac{28x^2}{7} - \frac{14x}{7} - \frac{21}{7} = 4x^2 - 2x - 3 \).
So, \( 28x^2 - 14x - 21 = 7(4x^2 - 2x - 3) \).

Answer:

7