ANSWER
(2) 4x^6 + 6x^5 + 8x^4
EXPLANATION
We have to find the product given:
[tex]2x^4(2x^2\text{ + 3x + 4)}[/tex]We will use the term outside the bracket to multiply each of the terms in the bracket.
That is:
[tex]\begin{gathered} (2x^4\cdot2x^2)+(2x^4\cdot3x)+(2x^4\cdot4) \\ 4x^{4\text{ + 2}}+6x^{4\text{ + 1}}+8x^4 \\ 4x^6+6x^5+8x^4 \end{gathered}[/tex]The answer is option 2.
