Precalculus Examples

Find $p (- 4)$ if $p (x) = 3 x^{2} - 4 x + 7$

Step 1

Replace the variable $x$ with $- 4$ in the expression.

$p (- 4) = 3 {(- 4)}^{2} - 4 \cdot - 4 + 7$

Step 2

Simplify $3 {(- 4)}^{2} - 4 \cdot - 4 + 7$ .

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Step 2.1

Remove parentheses.

$3 {(- 4)}^{2} - 4 \cdot - 4 + 7$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise $- 4$ to the power of $2$ .

$3 \cdot 16 - 4 \cdot - 4 + 7$

Step 2.2.2

Multiply $3$ by $16$ .

$48 - 4 \cdot - 4 + 7$

Step 2.2.3

Multiply $- 4$ by $- 4$ .

$48 + 16 + 7$

Step 2.3

Simplify by adding numbers.

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Step 2.3.1

Add $48$ and $16$ .

$64 + 7$

Step 2.3.2

Add $64$ and $7$ .

$71$