Find the Values of A, B, and C for Which $$( 7 p - 1 ) \left( 49 p ^ { 2 } + 7 p + 1 \right)$$

Multiple Choice

Find the values of a, b, and c for which the quadratic equation ax2 + bx + c = 0 has the given numbers as solutions. Then
use those values to write a quadratic equation.
- $$( 7 p - 1 ) \left( 49 p ^ { 2 } + 7 p + 1 \right)$$

A) $343 p ^ { 3 } + 1$
B) $343 p ^ { 3 } + 56 p ^ { 2 } - 1$
C) $49 p ^ { 3 } - 1$
D) $343 p ^ { 3 } - 1$