Precalculus Examples

$f (x) = 3 x^{3} - 7 x^{2} - 5 x + 7$ , $f (9)$

Step 1

Replace the variable $x$ with $9$ in the expression.

$f (9) = 3 {(9)}^{3} - 7 {(9)}^{2} - 5 \cdot 9 + 7$

Step 2

Simplify $3 {(9)}^{3} - 7 {(9)}^{2} - 5 \cdot 9 + 7$ .

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Step 2.1

Remove parentheses.

$3 {(9)}^{3} - 7 {(9)}^{2} - 5 \cdot 9 + 7$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise $9$ to the power of $3$ .

$3 \cdot 729 - 7 {(9)}^{2} - 5 \cdot 9 + 7$

Step 2.2.2

Multiply $3$ by $729$ .

$2187 - 7 {(9)}^{2} - 5 \cdot 9 + 7$

Step 2.2.3

Raise $9$ to the power of $2$ .

$2187 - 7 \cdot 81 - 5 \cdot 9 + 7$

Step 2.2.4

Multiply $- 7$ by $81$ .

$2187 - 567 - 5 \cdot 9 + 7$

Step 2.2.5

Multiply $- 5$ by $9$ .

$2187 - 567 - 45 + 7$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Subtract $567$ from $2187$ .

$1620 - 45 + 7$

Step 2.3.2

Subtract $45$ from $1620$ .

$1575 + 7$

Step 2.3.3

Add $1575$ and $7$ .

$1582$