Precalculus Examples

If $P (x) = x^{2} + x + 1$ ; find $P (6)$

Step 1

Replace the variable $x$ with $6$ in the expression.

$P (6) = {(6)}^{2} + 6 + 1$

Step 2

Simplify ${(6)}^{2} + 6 + 1$ .

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Step 2.1

Remove parentheses.

${(6)}^{2} + 6 + 1$

Step 2.2

Raise $6$ to the power of $2$ .

$36 + 6 + 1$

Step 2.3

Add $36$ and $6$ .

$42 + 1$

Step 2.4

Add $42$ and $1$ .

$43$