Algebra Examples

$P (x) = 7 x^{3} + 6 x^{4} - 8 x^{6} + 6 x + 11$ at $x = 0$

Step 1

Replace the variable $x$ with $0$ in the expression.

$P (0) = 7 {(0)}^{3} + 6 {(0)}^{4} - 8 {(0)}^{6} + 6 (0) + 11$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raising $0$ to any positive power yields $0$ .

$P (0) = 7 \cdot 0 + 6 {(0)}^{4} - 8 {(0)}^{6} + 6 (0) + 11$

Step 2.1.2

Multiply $7$ by $0$ .

$P (0) = 0 + 6 {(0)}^{4} - 8 {(0)}^{6} + 6 (0) + 11$

Step 2.1.3

Raising $0$ to any positive power yields $0$ .

$P (0) = 0 + 6 \cdot 0 - 8 {(0)}^{6} + 6 (0) + 11$

Step 2.1.4

Multiply $6$ by $0$ .

$P (0) = 0 + 0 - 8 {(0)}^{6} + 6 (0) + 11$

Step 2.1.5

Raising $0$ to any positive power yields $0$ .

$P (0) = 0 + 0 - 8 \cdot 0 + 6 (0) + 11$

Step 2.1.6

Multiply $- 8$ by $0$ .

$P (0) = 0 + 0 + 0 + 6 (0) + 11$

Step 2.1.7

Multiply $6$ by $0$ .

$P (0) = 0 + 0 + 0 + 0 + 11$

Step 2.2

Simplify by adding numbers.

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Step 2.2.1

Add $0$ and $0$ .

$P (0) = 0 + 0 + 0 + 11$

Step 2.2.2

Add $0$ and $0$ .

$P (0) = 0 + 0 + 11$

Step 2.2.3

Add $0$ and $0$ .

$P (0) = 0 + 11$

Step 2.2.4

Add $0$ and $11$ .

$P (0) = 11$

Step 2.3

The final answer is $11$ .

$11$

Step 3