All categories

2 years ago

Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.

Mathematics

1 answer:

Harman [31]2 years ago

5 0

Answer: $2x^2+2x-4-\frac{4}{x+1}$

Not a factor because there is a remainder.

Step-by-step explanation:

Let's use synthetic division to solve this..

-1 ║ 2 | 4 | -2 | -8

║ | -2| -2 | 4

║ 2 | 2| -4 | -4

$2x^2+2x-4-\frac{4}{x+1}$

PS: if anyone knows a better way to do a synthetic division chart please let me know.

You might be interested in

-2^x+3=-3^-x-2 solve for x

Sindrei [870]

Answer:

x = 2.34373881

There you go

8 0

3 years ago

D=50h how much farther can you travel in 0.25 hours

sveta [45]

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

7 0

3 years ago

Filbert makes $14 per hour. If he makes time and a half for overtime, how much will he make for working 63 hours?

Marina CMI [18]

Answer:

$1323.00

Step-by-step explanation:

A simple equation that can be used to figure this out is:

p*1.5*o=t

The variables mean:

p- hourly pay

o- hours worked overtime

t- total amount of money earned.

(Also, the 1.5 is always used to calculate overtime, no matter what job, unless otherwise specified, and as referred in the problem as "time and a half").

So, to finally work out this problem:

($14*1.5)*63=?

first, (14*1.5)= $21

($21*63)= $1323.

4 0

3 years ago

If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se

notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 5$