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Bingel [31]
3 years ago
5

What is the complete factorization of the polynomial below? X^3+3x^2-x-3

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

(x + 3)(x + 1)(x - 1)

Step-by-step explanation:

Given

x³ + 3x² - x - 3

Factor the first/second and third/fourth terms

= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence

= (x + 3)(x + 1)(x - 1) ← in factored form

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Answer:

ME = 1.761* \frac{5}{\sqrt{15}}=2.273

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X= 75 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=5 represent the sample standard deviation

n=15 represent the sample size  

Solution to the problem

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=15-1=14

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,14)".And we see that t_{\alpha/2}=1.761

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