Answer:
The answer to your question is False
Step-by-step explanation:
Original division
[tex]\frac{3x^{3}+ 5x^{2}- 11}{2x + 1}[/tex]
Process
1.- To express a division in a synthetic form we must take the coefficients of the numerator. If there is no coefficient for a variable, we write it as 0.
3x³ + 5x² - 11 = 3 5 0 - 11
The "0" means 0x, this term is not present but we must consider it.
2.- Solve the denominator for x
2x + 1 = 0
2x = -1
x = -1/2
3.- Write the synthetic division
-1/2 3 5 0 -11