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nignag [31]
3 years ago
5

Use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant factor.

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:

See example below.

Step-by-step explanation:

The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.

The x-intercepts here are x= -3 and x= 3.

Then the factors are x+3 and x-3.

So the factored form is (x+3)(x-3).

mario62 [17]3 years ago
3 0

Answer with explanation:

I will use cubic polynomial to explain this.Let the graph of the polynomial cuts the X axis at , a, b and c.Suppose all the three roots of the cube are Real.

So, it has three roots equal to a, b and c.

Equation of Cubic Polynomial is given by:

 = (x-a)(x-b)(x-c)

 = [x² - (a+b)x + a b](x-c)

 = x²(x -c)-x(a+b)(x-c)+ab(x-c)

= x³-x²c- (x²-xc)(a+b)+a b x - a b c

= x³ - x² c-x² a - x² b+a c x + b c x+a b x - a b c

=x³-x²(a+b+c)+x(a b+b c+ca)-a b c

The factors a, b and c can be any rational number in the form of \frac{p}{q}, q\neq 0.

For example ,the roots of the cubic polynomial are 1, -1 and 3.

Polynomial Function = (x -1)[x-(-1)](x-3)

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

                       

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Sonja [21]
To find the amount of soup in the soup-milk mixture, we just need to subtract the amount of milk from the amount of soup-milk mixture.

2 5/8 - 1 1/3 = 1 7/24.

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Hope that helped =)
8 0
3 years ago
What is the standard form of the quadratic function y=3(x-6)^2 +12
mash [69]

y=3(x-6)^2+12

y=3x-18^2+12

y=3x-324+12

y=3x-336

---

hope it helps

sorry if it doesn't

3 0
2 years ago
A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis
VMariaS [17]

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

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=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

8 0
3 years ago
Carpet sells for $3 per square foot and will cost you $810 to recarpet your rectangular room. if your room is 18 feet long, how
raketka [301]
$810 ÷ 3 = 270 square feet
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Area = 270 square feet,  length = 18 feet

Area = Length x Width
270 = 18 x width
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The room is 15 feet wide.
4 0
2 years ago
Write down the size of angle ABC give a reason your answer ​
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ABC = 180 degrees because a triangle is always equal to 180degree
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