Given
[tex]P(x)=x^3-2x^2[/tex]
And
[tex]I(x)=P(4x)[/tex]
To find the value of I(x).
Explanation:
It is given that,
[tex]P(x)=x^3-2x^2[/tex]
Then,
[tex]\begin{gathered} I(x)=P(4x) \\ \Rightarrow I(x)=(4x)^3-2(4x)^2 \\ \Rightarrow I(x)=64x^3-2(16x^2) \\ \Rightarrow I(x)=64x^3-32x^2 \end{gathered}[/tex]
Hence, the answer is I(x)=64x³-32x².
