Evaluate the Function F(x)=x^4-7x^2+2x-6 at x=1

$F (x) = x^{4} - 7 x^{2} + 2 x - 6$ at $x = 1$

Replace the variable $x$ with $1$ in the expression.

$F (1) = {(1)}^{4} - 7 {(1)}^{2} + 2 (1) - 6$

Simplify the result.

Simplify each term.

One to any power is one.

$F (1) = 1 - 7 {(1)}^{2} + 2 (1) - 6$

One to any power is one.

$F (1) = 1 - 7 \cdot 1 + 2 (1) - 6$

Multiply $- 7$ by $1$ .

$F (1) = 1 - 7 + 2 (1) - 6$

Multiply $2$ by $1$ .

$F (1) = 1 - 7 + 2 - 6$

Simplify by adding and subtracting.

Subtract $7$ from $1$ .

$F (1) = - 6 + 2 - 6$

Add $- 6$ and $2$ .

$F (1) = - 4 - 6$

Subtract $6$ from $- 4$ .

$F (1) = - 10$

The final answer is $- 10$ .

$- 10$