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Use synthetic division to find the quotient and remainder when 2x3 - 8x? - 1 is divided by x-4 by completing the parts below. (a) Complete this synthetic division table.

Use synthetic division to find the quotient and remainder when 2x3 8x 1 is divided by x 4 by completing the parts below a Complete

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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