Đáp án:
\(\left\{ \begin{array}{l}
a = - 3\\
b = 1\\
c = 11
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
f\left( x \right) = a{x^3} + 4{x^3} - 4{x^2} - 4x + 8\\
= \left( {a + 4} \right){x^3} - 4{x^2} - 4x + 8\\
g\left( x \right) = {x^3} - 4b{x^2} - 4x + c - 3\\
Do:f\left( x \right) = g\left( x \right)\\
\to \left( {a + 4} \right){x^3} - 4{x^2} - 4x + 8 = {x^3} - 4b{x^2} - 4x + c - 3\\
\to \left\{ \begin{array}{l}
a + 4 = 1\\
- 4 = - 4b\\
- 4 = - 4\left( {ld} \right)\\
8 = c - 3
\end{array} \right. \to \left\{ \begin{array}{l}
a = - 3\\
b = 1\\
c = 11
\end{array} \right.
\end{array}\)
