Finite Math Examples

$p (6) = - 0.0013 x^{4} + 0.0513 x^{3} - 0.662 x^{2} + 4.128 x + 35.75$

Step 1

Divide each term in $p (6) = - 0.0013 x^{4} + 0.0513 x^{3} - 0.662 x^{2} + 4.128 x + 35.75$ by $6$ .

$\frac{p \cdot 6}{6} = \frac{- 0.0013 x^{4}}{6} + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 2

Simplify the left side.

Tap for more steps...

Step 2.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 2.1.1

Cancel the common factor.

$\frac{p \cdot 6}{6} = \frac{- 0.0013 x^{4}}{6} + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 2.1.2

Divide $p$ by $1$ .

$p = \frac{- 0.0013 x^{4}}{6} + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Move the negative in front of the fraction.

$p = - \frac{0.0013 x^{4}}{6} + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.2

Factor $0.0013$ out of $0.0013 x^{4}$ .

$p = - \frac{0.0013 (x^{4})}{6} + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.3

Factor $6$ out of $6$ .

$p = - \frac{0.0013 (x^{4})}{6 (1)} + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.4

Separate fractions.

$p = - (\frac{0.0013}{6} \cdot \frac{x^{4}}{1}) + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.5

Divide $0.0013$ by $6$ .

$p = - (0.00021\overline{6} \frac{x^{4}}{1}) + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.6

Divide $x^{4}$ by $1$ .

$p = - (0.00021\overline{6} x^{4}) + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.7

Multiply $0.00021\overline{6}$ by $- 1$ .

$p = - 0.00021\overline{6} x^{4} + \frac{0.0513 x^{3}}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.8

Factor $0.0513$ out of $0.0513 x^{3}$ .

$p = - 0.00021\overline{6} x^{4} + \frac{0.0513 (x^{3})}{6} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.9

Factor $6$ out of $6$ .

$p = - 0.00021\overline{6} x^{4} + \frac{0.0513 (x^{3})}{6 (1)} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.10

Separate fractions.

$p = - 0.00021\overline{6} x^{4} + \frac{0.0513}{6} \cdot \frac{x^{3}}{1} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.11

Divide $0.0513$ by $6$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 \frac{x^{3}}{1} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.12

Divide $x^{3}$ by $1$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} + \frac{- 0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.13

Move the negative in front of the fraction.

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - \frac{0.662 x^{2}}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.14

Factor $0.662$ out of $0.662 x^{2}$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - \frac{0.662 (x^{2})}{6} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.15

Factor $6$ out of $6$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - \frac{0.662 (x^{2})}{6 (1)} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.16

Separate fractions.

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - (\frac{0.662}{6} \cdot \frac{x^{2}}{1}) + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.17

Divide $0.662$ by $6$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - (0.110\overline{3} \frac{x^{2}}{1}) + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.18

Divide $x^{2}$ by $1$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - (0.110\overline{3} x^{2}) + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.19

Multiply $0.110\overline{3}$ by $- 1$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - 0.110\overline{3} x^{2} + \frac{4.128 x}{6} + \frac{35.75}{6}$

Step 3.1.20

Factor $4.128$ out of $4.128 x$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - 0.110\overline{3} x^{2} + \frac{4.128 (x)}{6} + \frac{35.75}{6}$

Step 3.1.21

Factor $6$ out of $6$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - 0.110\overline{3} x^{2} + \frac{4.128 (x)}{6 (1)} + \frac{35.75}{6}$

Step 3.1.22

Separate fractions.

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - 0.110\overline{3} x^{2} + \frac{4.128}{6} \cdot \frac{x}{1} + \frac{35.75}{6}$

Step 3.1.23

Divide $4.128$ by $6$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - 0.110\overline{3} x^{2} + 0.688 \frac{x}{1} + \frac{35.75}{6}$

Step 3.1.24

Divide $x$ by $1$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - 0.110\overline{3} x^{2} + 0.688 x + \frac{35.75}{6}$

Step 3.1.25

Divide $35.75$ by $6$ .

$p = - 0.00021\overline{6} x^{4} + 0.00855 x^{3} - 0.110\overline{3} x^{2} + 0.688 x + 5.958\overline{3}$