Algebra Examples

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

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

One to any power is one.

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

Step 2.1.2

One to any power is one.

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

Step 2.1.3

Multiply $- 7$ by $1$ .

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

Step 2.1.4

Multiply $2$ by $1$ .

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

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

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Subtract $7$ from $1$ .

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

Step 2.2.2

Add $- 6$ and $2$ .

$F (1) = - 4 - 6$

Step 2.2.3

Subtract $6$ from $- 4$ .

$F (1) = - 10$

$F (1) = - 10$

Step 2.3

The final answer is $- 10$ .

$- 10$

$- 10$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$