High School

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Find the product of [tex]2x^4(2x^2 + 3x + 4)[/tex].

A. [tex]2x^8[/tex]
B. [tex]3x^4[/tex]
C. [tex]4x^4[/tex]
D. [tex]4x^6[/tex]
E. [tex]6x^5[/tex]
F. [tex]8x^4[/tex]
G. [tex]4x^4[/tex]
H. [tex]3x^5[/tex]
I. [tex]2x^6[/tex]
J. [tex]3x^6[/tex]
K. [tex]4x^5[/tex]
L. [tex]5x^4[/tex]

Answer :

2x^4(2x^2 + 3x + 4) = (2 x 2)x^(4 + 2) + (2 x 3)x^(4 + 1) + (2 x 4)x^4 = 4x^6 + 6x^5 + 8x^4

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