Answer:
[tex] - 6[/tex]
Step-by-step explanation:
The given expresion is
[tex]2 {x}^{4} - 3 {x}^{3} - 20 {x}^{2} - 6[/tex]
We want to use synthetic division to find the remainder when the function is divided by x-4.
We write out the coefficient of the function and perform the synthetic division as shown in the attachment.
The remainder is the last number in the last row which is -6.
