Evaluate the function below for x = 2.F(x) = 2x3 - x2 - 5x + 6A.8B.56C.16D.4SUBMITarrow_backPREVIOUS

1. Break Down the Problem

We need to evaluate the function $F(x) = 2x^3 - x^2 - 5x + 6$ at $x = 2$.

2. Relevant Concepts

The concepts relevant here involve substituting $x$ into the function and performing algebraic calculations to find $F(2)$.

3. Analysis and Detail

We substitute $x = 2$ into the function:

$F(2) = 2(2)^3 - (2)^2 - 5(2) + 6$

Now, calculate each term:

• $(2)^3 = 8$
• $(2)^2 = 4$
• $5(2) = 10$

Substituting these values back into the function, we get:

$F(2) = 2(8) - 4 - 10 + 6$

Now perform the calculations step by step:

• $2 \times 8 = 16$
• $16 - 4 = 12$
• $12 - 10 = 2$
• $2 + 6 = 8$

4. Verify and Summarize

The calculations confirm that $F(2) = 8$.

Final Answer

The value of $F(2)$ is $8$, which corresponds to option A.