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The answer to your question is False

Step-by-step explanation:

Original division

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  

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i