Evaluate Using the Given Value 2x^3-3x^2+4 for x=-2

$2 x^{3} - 3 x^{2} + 4$ for $x = - 2$

Step 1

Replace the variable $x$ with $- 2$ in the expression.

$2 {(- 2)}^{3} - 3 {(- 2)}^{2} + 4$

Step 2

Simplify each term.

Raise $- 2$ to the power of $3$ .

$2 \cdot - 8 - 3 {(- 2)}^{2} + 4$

Multiply $2$ by $- 8$ .

$- 16 - 3 {(- 2)}^{2} + 4$

Raise $- 2$ to the power of $2$ .

$- 16 - 3 \cdot 4 + 4$

Multiply $- 3$ by $4$ .

$- 16 - 12 + 4$

Step 3

Simplify by adding and subtracting.

Subtract $12$ from $- 16$ .

$- 28 + 4$

Add $- 28$ and $4$ .

$- 24$