Evaluate Using the Given Value f(40)=0.73(40)^3-20(40)^2-884*40+37 , 761

$f (40) = 0.73 {(40)}^{3} - 20 {(40)}^{2} - 884 \cdot 40 + 37$ , $761$

Step 1

Simplify each term.

Raise $40$ to the power of $3$ .

$f (40) = 0.73 \cdot 64000 - 20 {(40)}^{2} - 884 \cdot 40 + 37, 761$

Multiply $0.73$ by $64000$ .

$f (40) = 46720 - 20 {(40)}^{2} - 884 \cdot 40 + 37, 761$

Raise $40$ to the power of $2$ .

$f (40) = 46720 - 20 \cdot 1600 - 884 \cdot 40 + 37, 761$

Multiply $- 20$ by $1600$ .

$f (40) = 46720 - 32000 - 884 \cdot 40 + 37, 761$

Multiply $- 884$ by $40$ .

$f (40) = 46720 - 32000 - 35360 + 37, 761$

Step 2

Simplify by adding and subtracting.

Subtract $32000$ from $46720$ .

$f (40) = 14720 - 35360 + 37, 761$

Subtract $35360$ from $14720$ .

$f (40) = - 20640 + 37, 761$

Add $- 20640$ and $37$ .

$f (40) = - 20603, 761$