Divide x^3+2 by x+1 long division ppleeease! :)

1 answer:

3 0

Long division: (x³ + 2) ÷ (x + 1)

 x² – x + 1 
x³ + 0x² + 0x + 2 | x + 1
– x³ – x² ⋮ ⋮
– x² + 0x ⋮
+ x² + x ⋮
+ x + 2
 – x – 1
+ 1

 Quotient: Q(x) = x² – x – 1;

Remainder: R(x) = + 1.

I hope this helps. =)

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The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

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5.5 13

9.5 10

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Start by calculating the mean using:

$\bar x = \frac{\sum fx}{\sum f}$

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}$

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$