Answer :
By performing synthetic division on ( 2 x³ - 8 x - 1 ) ÷ ( x - 4 ), the quotient is 2 x² + 8 x + 24 and the remainder is 95.
We are given that:
2 x³ - 8 x - 1 is divided by x - 4
( 2 x³ - 8 x - 1 ) ÷ ( x - 4 )
Perform synthetic division:
2 x² + 8 x + 24
x - 4 √2 x³ - 8 x - 1
2 x³ - 8 x²
_______________
8 x² - 8 x - 1
8 x² - 32 x
_______________
24 x - 1
24 x - 96
_______________
95
_______________
Therefore, we get that, by performing synthetic division on ( 2 x³ - 8 x - 1 ) ÷ ( x - 4 ), the quotient is 2 x² + 8 x + 24 and the remainder is 95.
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