In Each Part, Use the Given, Correct Algebraic Statements to Answer

Essay

In each part, use the given, correct algebraic statements to answer the calculations.
A) Part I:
$( x + 4 ) ( 2 x + 1 ) = 2 x ^ { 2 } + 9 x + 4$
implies that 14_seventeen × 21_seventeen = ______seventeen.
B) Part II:
$( 2 x + 3 ) ( 2 x + 1 ) = 4 x ^ { 2 } + 8 x + 3$
implies that 23_eleven × 21_eleven = ______eleven.
C) Bonus: What other bases could be used in parts I and II?