Find the Values of A, B, and C for Which $\left( 4 x ^ { 2 } + 3 x + 4 \right) \left( x ^ { 2 } + 5 x - 4 \right)$

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.
- $\left( 4 x ^ { 2 } + 3 x + 4 \right) \left( x ^ { 2 } + 5 x - 4 \right)$

A) $4 x ^ { 4 } + 20 x ^ { 3 } + 3 x ^ { 2 } + 8 x - 16$
B) $4 x ^ { 4 } + 20 x ^ { 3 } - 1 x ^ { 2 } + 8 x - 16$
C) $4 x ^ { 4 } + 23 x ^ { 3 } - 1 x ^ { 2 } + 8 x - 16$
D) $4 x ^ { 4 } + 23 x ^ { 3 } + 3 x ^ { 2 } + 8 x - 16$