Algebra Examples

$p (x) = 2 x^{2} - 5 x - 3$ for $x = 4$

Step 1

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

$p (4) = 2 {(4)}^{2} - 5 \cdot 4 - 3$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

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

$p (4) = 2 \cdot 16 - 5 \cdot 4 - 3$

Step 2.1.2

Multiply $2$ by $16$ .

$p (4) = 32 - 5 \cdot 4 - 3$

Step 2.1.3

Multiply $- 5$ by $4$ .

$p (4) = 32 - 20 - 3$

Step 2.2

Simplify by subtracting numbers.

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Step 2.2.1

Subtract $20$ from $32$ .

$p (4) = 12 - 3$

Step 2.2.2

Subtract $3$ from $12$ .

$p (4) = 9$

Step 2.3

The final answer is $9$ .

$9$

Step 3